The volume of a cylinder is 60 cubic centimeters. What is the number of cubic centimeters in the volume of the sphere it circumscribes

Answers

Answer 1

Call the radius of the cylinder and sphere, r And the height  of the cylinder  = 2r

How to Calculate Volume in Cubic Centimeters?Calculating volume is just another way of saying that you're measuring the amount of space inside a three-dimensional object. You can use standardized formulas for calculating the volume of shapes like cubes, cylinders and spheres, as long as you know their basic measurements.So60  =  pi * r^2 * 2r30 =  pi * r^330/pi  =  r^3[30/pi]^1/3  =  rSo...the volume of the sphere is(4/3)pi [ (30/pi)^1/3 ]^3  =(4/3) pi * 30/pi  =40 cm^3A cubic centimetre (or cubic centimeter in US English) (SI unit symbol: cm3; non-SI abbreviations: cc and ccm) is a commonly used unit of volume that corresponds to the volume of a cube that measures 1 cm × 1 cm × 1 cm. One cubic centimetre corresponds to a volume of one millilitre.How to Work out Volume with Cubic Centimetres. If a container was filled with water and it had a length of 20 cm, a height of 5 cm and a depth of 4 cm to work out the volume of water you would need to multiply all 3 numbers together. 20 cm x 5 cm x 4 cm = 400 cm³

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Related Questions

E) how to find the first 4 terms in the expantion of ( 1 + 2x ) to power 6 ?

Answers

the first 4 term is (1+2x)^6

Tammy already has $565 dollars in her savings account. If she puts $5 per week in her account, write and solve an inequality to find out how many weeks she must save to have at least $100 in her account. Let w represent the number of weeks.

Answers

Answer:

Since she already has $565, her goal is $665.

5 × 20 = 100

w = 20 weeks

The sum of three numbers is 108. The first number is 7 more than the second. The third number is 3 times the first. What are the numbers?
First number:
Second number:
Third number

Answers

Answer:

23,16, and 69

Step-by-step explanation:

(x+7) +x +[3(x+7)]=108

(x+7) + x + (3x+21)=108

5x +28=108

5x=80

x=16

1st number 16+7=23

2nd number 16

3rd number 69


150 adults complete a survey.
80 are women.
Write the ratio
men women
in its simplest form.​

Answers

Answer:

The number of men to number of women be 7 : 8 .

the equation t= 12q + 12 gives the total cost t if a meal with a too of p percent the independent variable is ?
the dependent variable is ?

Answers

Link doesn’t work sorry

Explain if this student has made a mistake. Explain what the mistake was and how you would fix it. include the right answer

Answers

Answer:

Mistake => [tex] \frac{8x}{4} = \frac{4}{4} [/tex]

How it can be fixed => [tex] \frac{8x}{8} = \frac{4}{8} [/tex]

[tex] x = \frac{1}{2} [/tex] (correct answer)

Step-by-step explanation:

The student solved the problem correctly up to the second step where 6 was added to both sides of the equation.

The mistake he made was in his division.

Thus, instead of dividing both sides by 8, he divided both sides by 4, which is incorrect.

Mistake => [tex] \frac{8x}{4} = \frac{4}{4} [/tex]

How it can be fixed => [tex] \frac{8x}{8} = \frac{4}{8} [/tex]

[tex] x = \frac{1}{2} [/tex] (correct answer)

Answer:

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

Find the product of the factors 8.075*0.08

Answers

Answer: 8.075: gotta get somebody else to do this one...sorry. and 0.08 = 8

Step-by-step explanation:

Did this with a classmate couple months ago. Hope this helps. :)

PLEASE HELP ME ASAP!!! WILL MAKE YOU BRAINLIEST!!!!

Which of the following postulates or properties of spherical geometry are true?

A) The sum of the measures of a triangle is 180.
B) No two lines are parallel.
C) Through any two points there is exactly one line.
D) Two lines intersect in exactly one point.

Answers

Answer:A

Step-by-step explanation:

Taliban

NO LINKS OR I'LL REPORT
Find the area of the figure. Round your answer to the nearest tenth.
Be sure to sketch the polygon and the associated triangle.
Given: A regular hexagon with radius = 8

Answers

Answer:

17.3 if I am right mark me brainless pls

Please enter the missing number: 3, 5, 18, 72, ?

A. 144
B. 214
C. 272
D. 360
E. 432

Please explain precisely

Answers

Step-by-step explanation:

18 and 5 are both missing if that's what you mean

Answer:

D. 360

Step-by-step explanation: It's being multiplied by plus one more every time you move on to a new term.

So 2*3=6, 6*3=18, 18*4=72, 72*5=360

What is the result when the number 80 is decreased by 50%?

Answers

that would be 40 because 50% would take away half

New value =

80 - Percentage decrease =

80 - (50% × 80) =

80 - 50% × 80 =

(1 - 50%) × 80 =

(100% - 50%) × 80 =

50% × 80 =

50 ÷ 100 × 80 =

50 × 80 ÷ 100 =

4,000 ÷ 100 =

40

Write the expression using a single exponent.
7^5 • 7^6
A. 49^30
B. 7^30
C. 49^11
D. 7^11

Answers

Answer:

D

Step-by-step explanation:

keep the base and add the exponents

Colleen and Amy go shopping. The function below represents how much money each girl spent based on the number of hours they were shopping. If Colleen and Amy each go shopping for 3 hours, how much money did they spend together?
p(x)3x^4=x^4-3x^2+5
$32
$86
$248
$302

Answers

Answer:

$302

Step-by-step explanation:

p(x) 3x^4 = x^4-3x^2+5

We put 3 in for x and solve

3(3)^4 = 3^4 -3(3)^2 + 5

3(81) = 81 -3(9) + 5

243 = 81 - 27 + 5

243 = 59

Then we add 243 with 59 and get

$243 + $59 = $302

So, they spend together $302

If you can, please give me a Brainliest; thank you!

What is the numerical coefficient of the term − 6xy?

Answers

The numerical coefficient of xy in the given expression 6xy is 6.

In mathematical terms, a coefficient is a numerical value that is multiplied by a variable in an algebraic expression. The coefficient is the number that appears in front of the variable.

For example, in the expression 3x, the coefficient is 3. In the expression 2[tex]y^2[/tex], the coefficient is 2. In the expression -5[tex]z^3[/tex], the coefficient is -5.

In the case of a constant term in an expression, the coefficient is the constant term itself.

For example, in the expression 3x + 4, the coefficient of x is 3 and the coefficient of the constant term 4 is 4.

Here, in the expression 6xy, the numerical coefficient of xy is 6.

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Sal brought 2 dozen apples to a science club meeting. He divided the apples equally among the 8 people there. How many apples did he give each person?​

Answers

Division is the antithesis of multiplication. When you divide twelve into three equal groups, you get four in each group when you multiply three groups of four to create twelve.

How do you explain division?

The opposite of multiplication is division. When you multiply three groups of four to produce twelve, you get four in each group when you split twelve into three equal groups. The basic objective of splitting is to determine how many equal groups are created or how many people are in each group after a fair distribution.

The phrase to use is "divide in half," not "divide by half," when discussing splitting something into two equal portions. In mathematics, multiplying by two is equivalent to dividing by half. Additionally, see "multiply by two."

The French term "douzaine," which denotes a group of 12, is where the word "dozen" originates.

2 dozen apples equals 24, and 24 divided by 8 is 3.

Therefore, the answer is 3.

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Which fraction is equivalent to - 3/2?

3/-2

-(3/-2)

-3/-2

-(-3/2)

Answers

Answer: -(-3/2 is equivalent also

Step-by-step explanation:

The reason why is because you take it out of the parentheses you will still have a negative fraction

pls help, 20 points!​

Answers

Answer:

13

Step-by-step explanation:

7x -4 = 87

7x = 87+4 = 91

x = 91/7 = 13

Factor this polynomial completely.
x2 + 3x - 18
A. (x - 2)(x+9)
B. (x+3)(x - 6)
C. (x - 3)(x + 6)
D. (x - 3)(x-6)

Answers

C.
Foil method reverses factor

Which inequality is true?
1.-1.5>-0.5
2.-1/2>0
3.-2.5<-2
4.-1 1/2>1.5

Answers

Answer:

option

3 is the correct answer

`y=7/(1,000)-(9x)/8` is this proportional or nonproportional

Answers

Proportional because it has a slope and having a slope represents a directly proportional relationship.

Solve the following equations for ×. Check for extraneous solutions.

Answers

The solution for given question of algebra are 10, -42, -38 for question 1st, 2nd and 3rd.

Which four types of algebra are there?

There are several sub-branches of algebra, including commutative algebra, abstract algebra, linear algebra, and elementary algebra.

For question 1

x + 6/x + 3 = 4/7

7x + 42 = 4x + 12

7x - 4x = 42-12

3x = 30

x = 10

For question 2

2/x+8 = 3/x+9

2x - 18 = 3x + 24

x = -42

For question 3

x+2/6 = x-4/7

7x+14 = 6x-24

x = -38

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please help solve this its for geometry

Answers

Answer:

Step-by-step explanation:

1.RS+ST=RT. so 9y+2+2y+7=15y-11

2.11y+9=15y-11

3.15y-11y=11+9

4.4y=20

finally we find the answer is y=5

For each equation determine whether it has no solutions, exactly one solution, or is true

for all values of x (and has infinitely many solutions). If an equation has one solution, solve

to find the value of x that makes the statement true.

a. 6r+8 = 7x + 13

b6r + 8 = 2(3x + 4)

c. 6r+8 = 6r+ 13

Answers

For the given equations , the solutions are as follows :

(a) the equation [tex]6x + 8 = 7x + 13[/tex] has exactly one solution , and the solution is  .

(b) the equation [tex]6x + 8 = 2(3x + 4)[/tex] has Infinitely Many Solutions .

(c) the equation [tex]6x + 8 = 6x + 13[/tex] has No Solution .

Equation (a) ;

the equation is given as [tex]6x + 8 = 7x + 13[/tex] , we solve the equation further ,

we get ;

[tex]7x - 6x = 13 - 8[/tex] ;

[tex]x = 5[/tex] ;

So , the equation has exactly one solution and the solution is [tex]x = 5[/tex] .

Equation (b) ;

the equation is given as [tex]6x + 8 = 2(3x + 4)[/tex] , we solve equation further ,

we get ;

[tex]6x + 8 = 6x + 8[/tex] ;

On solving further ,

we have ;

[tex]8 = 8[/tex] ;

So , the equation has infinitely many solutions .

Equation (c) ;

the equation is given as [tex]6x + 8 = 6x + 13[/tex] , we solve equation further ,

we get ;

[tex]8 = 13[/tex] ;

and we know that [tex]8\neq 3[/tex] ,

So , the equation have No Solution .

The given question is incomplete , the complete question is

For each equation determine whether it has no solutions, exactly one solution, or is true . for all values of x (and has infinitely many solutions). If an equation has one solution, solve to find the value of x that makes the statement true.

(a) 6x + 8 = 7x + 13

(b) 6x + 8 = 2(3x + 4)

(c) 6x + 8 = 6x + 13

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factorise fully -b -20

Answers

Answer:

−(b+20)

Step-by-step explanation:

The only thing we could possibly do is factor out the negative since there are no factors no squared numbers.

PLS MARK BRAINLIEST

As the ball rolls downhill, its kinetic energy ___________

Maximum
Minimum

Answers

Answer:

Maximum

Step-by-step explanation:

Answer:

Maximum

Step-by-step explanation:

I’ll mark u as brainliest plz answer this !!!

Answers

Answer:

the answer is 20. 50% of 20 is 10 so if 10 preferred the one juice then there's 20 people total

Answer:20

Step-by-step explanation:

If x=all beings on Vreet

0.5x=10

x=10/0.5

x=20


Evaluate each numerical expression
7x(12+8)-6

Answers

Answer:

134

Step-by-step explanation:

If this is right can I get brainliest?

Answer:

140x − 6

Step-by-step explanation:

add the numbers

7x(12+8)-6

7x(20)-6

multiply the numbers

7x times 20-6

=140x-6

Can u please help...............

Answers

A graph of ΔABC with vertices A(0, 0), B (3, 3), and C (4, 0) and its image after a 90° rotation about the origin is shown in the image attached below.

What is a rotation?

In Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).

By applying a rotation of 90° counterclockwise to the vertices of triangle ABC (∆ABC), the coordinates of the vertices of the image (∆A′B′C′) are as follows:

(x, y)                               →            (-y, x)

Ordered pair A  = (0, 0) → Ordered pair A' = (0, 0)

Ordered pair B = (3, 3) → Ordered pair B' = (-3, 3)

Ordered pair C = (4, 0) → Ordered pair C' = (0, 4)

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The area of the right triangle shown is 24 square feet.


Which equations can be used to find the lengths of the legs of the triangle? Select three options.

0.5(x)(x + 2) = 24
x(x + 2) = 24
x2 + 2x – 24 = 0
x2 + 2x – 48 = 0
x2 + (x + 2)2 = 100

Answers

The area of a right-angled triangle is represented by the expression

x(x + 2) = 24 having area 24 square feet.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the area of a right-angled triangle is (1/2)×base×height.

Given, The area of a triangle is 24 square feet whose height is 2 more than it's base.

Let, The base of the triangle be 'x', Therefore the measure of the height is (x + 2).

Therefore, The area of the triangle is,

(1/2)×x(x + 2) = 24.

x(x + 2) = 24.

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PLEASE HELP QUICK!!!

Answers

I’m sure the answer is D.
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