[tex]\color {white}\boxed{\colorbox{black} { QUESTION♡}} [/tex]
​ ​ A hemispherical bowl of internal diameter 30 cm contains liquid liquid is to be filled into a cylindrical shape bottles each of diameter 5 cm and height 6 cm find the number of bottles necessary to empty. the bowl ??
✦no spam
✦proper solving
✦diagram if necessary
plss help !!​

Answers

Answer 1

60 bottles required.

calculate the volume of both shapes

For hemispherical bowl:

[tex]\sf volume: \dfrac{2}{3} \pi r^3[/tex]                         [diameter: 30 cm, radius: 15 cm]

[tex]\rightarrow \sf volume: \dfrac{2}{3} \pi (15)^3[/tex]

[tex]\rightarrow \sf volume: 2250\pi \ cm^3[/tex]

For each cylindrical bottles:

[tex]\sf volume: \pi r^2h[/tex]                          ["r" is 2.5 cm, "h" is 6 cm]

[tex]\rightarrow \sf volume: \pi (2.5)^2(6)[/tex]

[tex]\rightarrow \sf volume: 37.5 \pi \ cm^3[/tex]

So number of required bottles:

volume of hemisphere/volume of each cylindrical bottle2250π/37.5π60 bottles

Related Questions

Find the solution of the system of equations.

x-y=-3
-8x+y=45

Answers

Answer:

x = 17, y = 28

Step-by-step explanation:

1. Isolate for x in "x - y = -3, -8":

x - y+y = -3, -8+y

x = -11 + y

2. Substitute "x = -11 + y" in for x in the second expression:

-11 + y + y = 45

3. Simplify:

-11 + 2y = 45

4. Isolate y:

-11+11 +2y = 45+11

2y = 56

[tex]\frac{2y}{2} = \frac{56}{2}[/tex]

y = 28

5. Substitute the new y-value into the first equation:

x = -11 + 28

x = 17

hope this helps!

equivalent expression to −5.55−8.55c+4.35c

Answers

-5.55-8.55c+4.35c 2nd and 3rd term is like term we can connect. -digit have to larger number than +digit so the sign will be negative
-5.55-4.2c there is no like term to connect
Hence this is the answer

PLS HELP ITS ONLY ONE QUESTION
Directions: use your knowledge of the Cartesian Coordinate System to answer the following questions.


How are the four sections marked?

Answers

Answer:

Four sections (or called quadrants)are marked in Roman numerals I, II, III, IV

Hope it helps.

Please help!!!!!

Two chords intersect within a circle to form an angle whose measure is 53 degrees. If the intercepted arcs are represented by 3x + 3 and 10x -14, find the measure of the LARGER of these two arcs.

A. 106
B. 76
C. 9
D. 30

Answers

Answer:

76degrees

Step-by-step explanation:

Using the theorem which states that the vertex of the angle inside a circle is half the sum of the measured intercepted arcs. Hence;

Angle at the vertex = 53 degrees

Half the sum of intercepted arcs = 1/2(3x+3+10x-14)

Half the sum of intercepted arcs = 1/2(13x-11)

Equating to  the vertex to find x

1/2(13x-11) = 53

13x - 11 = 2 * 53

13x - 11 = 106

13x = 106 + 11

13x = 117

x = 117/13

x = 9

For the arc 3x + 3

= 3(9) + 3

= 27 + 3

= 30degrees

For the arc 10x - 14

= 10(9) - 14

= 90 - 14

= 76degrees

Hence the measure of the larger of the two arcs is 76degrees

Please help me, I feel so idiotic right now

Answers

Answer:

a)  $8.80

b)  40%

Step-by-step explanation:

Part (a)

Given:

Original price = $22Discounted price = $13.20

Original price - discounted price

= $22 - $13.20

= $8.80

Part (b)

percentage = (amount discounted ÷ original price) x 100

                    = (8.80 ÷ 22) x 100

                    = 40%

What is the lateral area of the cone

Answers

[tex]\bold{ANSWER:}[/tex]

45.74 ft^2

[tex]\bold{EXPLANATIONS:}[/tex]

Simplify the following expression

(x^0 y^2/3 z^-2)^3/2 divided by (x^2z^1/2)^-6

Answers

[tex]\dfrac{\left(x^0 y^{\tfrac 23} z^{-2} \right)^{\tfrac 32}}{\left(x^2 z^{\tfrac 12} \right)^{-6}}\\\\\\=\dfrac{1\cdot \left( y^{\tfrac 23}\right)^{\tfrac 32} \cdot \left(z^{-2} \right)^{\tfrac 32}}{\left(x^2 \right)^{-6} \cdot \left( z^{\tfrac 12} \right)^{-6}}~~~~~~~~~~~~~~~~~~;\left[(ab)^m = a^m b^m\right]\\\\\\=\dfrac{y^{1} \cdot z^{-3}}{x^{-12} \cdot z^{-3}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[(a^m)^n = a^{mn}\right]\\\\\\=\dfrac{y}{x^{-12}}\\\\\\[/tex]

[tex]=\dfrac{y}{\tfrac 1{x^{12}}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[a^{-m} = \dfrac 1{a^m} } \right]\\\\\\=yx^{12}[/tex]

please help. I don't understand

Answers

the figure is of the parallelogram so it’s formula will be base x height. From the figure we can see that vase is = 11.5yd and the height is 22.5yd,so it’s area will he bxh/11.5yd x 22.5yd which will be 258.75yd square

On the opening day, a restaurant offers free drinks and desserts to all the customers. A customer can choose from apple juice, orange juice, grape juice, and cranberry juice. He can choose from ice cream, cake, and pudding as desserts. How many different juice-dessert combinations are possible?

15
24
12
7

Answers

Answer: 12

Step-by-step explanation:

Juice 4 multiplied by Dessert 3

A fair die is rolled 5 times. What is the probability of having no 1 and no 4 among the rolls? Round your answer to three decimal places. ​

Answers

Answer:

0.132

Step-by-step explanation:

Rolling a die is an independent event.

Chance of not rolling a 1 or 4 is 4/6 or 2/3

[tex]\frac{2}{3} ^5 = \frac{32}{243} = 0.13168[/tex]

Find the value of x to the nearest tenth.​

Answers

Answer:

x ≈ 16.2

Step-by-step explanation:

tan56° = [tex]\frac{24}{x}[/tex] ( multiply both sides by x )

x × tan56° = 24 ( divide both sides by tan56° )

x = [tex]\frac{24}{tan56}[/tex] ≈ 16.2 ( to the nearest tenth )

What is the volume of a sphere with a radius of 9.1 ft, rounded to the nearest tenth of a cubic foot?

Answers

The volume of the sphere with a radius of 9.1ft is 3256.55cubic feet.

We have given that, the radius of the sphere is 9.1ft.

We have to determine the volume of the sphere

What is the formula for the volume of the sphere?

The volume of the sphere  is given by

[tex]V=\frac{4}{3}\pi r^3[/tex]

r is the radius of the sphere

V- is the volume of the sphere

So use the given value in the formula so that,

[tex]V=\frac{4}{3}\pi (9.1)^3[/tex]

[tex]V=3156.55082 ft^3[/tex]

Therefore the volume of the sphere with a radius of 9.1ft is 3256.55cubic feet.

To learn more about the volume visit:

https://brainly.com/question/22807400

#SPJ1

Answer:3156.6

Step-by-step explanation:

How can i find the circumference of a circle if I already know it's area?

Answers

Answer:

With the area you can find the radius and then substitute the radius in the circumference formula

what is the volume of the triangular prism

A) 12 cm
B) 18
C) 24
D) 48

Answers


Remember the formula for calculating volume is: Volume = Area by height. V = A X h.
For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.
So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h

If x-3=6, what is the value of x?
Group of answer choices

x=2

x=3

x=6

x=9

Answers

Answer:

x=9

Step-by-step explanation:

9-6=3

Jose's mom gave him
$
40
for cutting their grass. He used the money to buy a
$
10. 75
game and two snacks that cost
$
3. 25
each. Joe also bought a bouquet of flowers for his mom. If Joe went home with
1
4
of the money his mom gave him, how much did the flowers cost?

Answers

The flowers cost $12

40.00-10.75=$29.25
$29.25-3.25=$26.00
$26.00-$12.00=14

If one end of a line segment is (4, 4) and midpoint is (-2,2), find the co-ordinates of the other end. ​

Answers

Answer:

-8,0

Step-by-step explanation:

From one end of a segment to the midpoint, it takes -6x to get to the midpoint. Based on that, you can go another 6 over the y graph and get -8 for x.

For y, the segment goes from 4 to 2 (a -2 over the x graph). you can infer then that the other end will be 0.

please help me find the answe asap

Answers

Answer:

B

Step-by-step explanation:

the mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

this year's mean = [tex]\frac{7+3.3+2}{3}[/tex] = [tex]\frac{12.3}{3}[/tex] = 4.1

last year's mean = [tex]\frac{5.3+1.6+2.4}{3}[/tex] = [tex]\frac{9.3}{3}[/tex] = 3.1

difference = 4.1 - 3.1 = 1

Solve. 5y + 42 − y = 34

Answers

Answer:

The answer is y= -2

Step-by-step explanation:

(Arrange according to the like terms first)

5y-y+42= 34

4y+ 42-34= 0

4y+ 8= 0

4y= -8

∴ y= -8/4=-2

So, y= -2

Hope it will help.

Answer:

y = -2

Step-by-step explanation:

question : 5y + 42 − y = 34

⇒ 5y + 42 − y = 34

•shifting the +42 to the right side :

⇒ 5y - y = 34 - 42

⇒ 4y = -8

•shifting the 4 to the right side :

⇒ y = -8/4

⇒ y = -2 Answer...

hope that helps...

expand the following expression. 13/4 (2x + 3/4)

Answers

Hey there!

13/4(2x + 3/4)

= 13/4(2x) + 13/4(2x)

= 13/2x + 39/16

≈ 6 1/2x + 2 7/16


Therefore, your answer is:
13/2x + 39/16

Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

-
Solve the system of equations – 2z – 2y = -24 and 3z – 2y = -33 by
combining the equations.
-
( 2z -2y =-24)
– 32 -2y =-33)
-
-
-22 -2y = -24
-32 -2y -33
0 - 0 Y=
You must answer all questions above in order to submit.
P

Answers

Answer:

z = -1.8, y = 10.2

Step-by-step explanation:

- 2z -2y = -24 (EQ 1)

3z - 2y = -33 (EQ 2)

Change one of the equations to it's opposite (Turning a negative number to a positive/or the other way around)

Let's target the equation that can leave us with the simplest question to solve

-2z + -2y = -24

-3z + 2y = 33

-5z = 9

(Dividing and switching the negative sign over)

z = -1.8

Plug in Z to solve for y.

-2(-1.8) - 2y = -24

3.6 - 2y = -24

-2y = -20.4

y = 10.4

A hurricane wiped out 40% of the wild rats in a coastal city. Then, a disease spread through stagnant water killing 20% of the rats that survived the hurricane. What percentage of the original population of rats is left after these 2 events

Answers

After the hurricane and the disease, 48% of the original population of rats is left.

We have,

After the hurricane, 40% of the rats were wiped out, which means

100% - 40% = 60% of the rats survived.

Then, after the disease spread through stagnant water, 20% of the remaining rats were killed.

This means 100% - 20% = 80% of the rats that survived the hurricane are still left.

To find the percentage of the original population of rats that is left after both events, we multiply the percentages:

Percentage left = 60% * 80% = 0.6 * 0.8 = 0.48

Finally, we convert the decimal value back to a percentage:

Percentage left = 0.48 * 100% = 48%

Therefore,

After the hurricane and the disease, 48% of the original population of rats is left.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ4

Graph =−2+5 y = − 2 x + 5 and =−12−3 y = − 1 2 x − 3 . Are the lines parallel, perpendicular, or neither?

Answers

Answer:

They are neither,they intersect but not at a 90 degree angleStep-by-step

explanation: hope this helps :)

I answered 2. Am I right?​

Answers

Answer:

Yes, I agree,  the score of 2 was an outlier,  outside of what is close to everyone else's score

Step-by-step explanation:

Given the graph of the function f(x), find each of the following.
† y
a. f(-4) 2
b.
f(0) O
C.
f (2) -1
d. f (5) -1

Answers

Answer:

a) 2 ; b) 0; c) -2 ; d) -1

Step-by-step explanation:

a) f(-4)=2 ;

b) f(0)=0;

c) f(2)= -2 ;

d) f(5)= -1

A=2 b=0 hopes this helps

write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
28:7

Answers

The answer is 4/1 you just have to divide 7 from both numbers and then you will get 4/1

Answer:

[tex] \frac{4}{1} [/tex]

Step-by-step explanation:

[tex]writing \: as \: a \: fraction \: the \\ numerator = 28 \\ denominator = 7 \\ as \: a \: fraction \: it \: is \: \: \frac{28}{7} \\ dividing \: numerator \: and \: denominator \: by \: four \\ = \frac{4}{1} \\ hope \: this \: helps \\ please \: rate \: and \: mark \: brainliest[/tex]

What is the area of the trapezoid?

WILL MARK BRAINLYEST

Answers

Answer:

126 in^2

Step-by-step explanation:

A=[tex]\frac{a+b}{2} h=\frac{8+20}{2}(9)=126[/tex]

Which point is located at - 1/6

Answers

Answer:

Point C

Step-by-step explanation:

it is negative, so we can already eliminate points A and B so which leaves us with C and D. It is a fraction that is greater than -1 so that eliminates point D, so the remaining point is our final answer.

Answer:

Point C

Step-by-step explanation:

Step 1:  What point is located at -1/6

We can see that the arrow pointing up showcases us going positive and the arrow pointing down showcases us going negative.  0 gives us the middle point between negatives and positives. We can see that there are 6 ticks between each whole number.  Therefore, if we go 1/6 of a tick down in the negative direction we would get point C.

Answer: Point C

A rectangular painting has a length of 24 inches and a width of 7 inches. What is the length of the diagonal of the painting in inches? Enter your answer in the box.

Answers

Pythagorean theorem
a^2 + b^2 = c^2
(24)^2 + (7)^2 = c^2
625inches
sqrt 625 =25

25 inches.

Answer: 25 inches

Step-by-step explanation:

24² + 7² = 625

Square root of 625 = 25

PLease help me w this q.8

Answers

Answer:

B

Step-by-step explanation:

Angle 1 and angle  3 are alternate interior angles.

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