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zavuch27 [327]
3 years ago
13

What is the ratio of the volume of Sphere A to the volume of Sphere B?

Mathematics
1 answer:
MrMuchimi3 years ago
6 0

Answer : The ratio of the volume of Sphere A to the volume of Sphere B is, 64 : 27

Step-by-step explanation :

Formula used to calculate the volume of sphere is:

V=\frac{4}{3}\pi r^3

First we have to calculate the volume of sphere A.

Given:

r = radius of sphere A = 4 inch

V_A=\frac{4}{3}\pi (4)^3

V_A=\frac{256}{3}\pi \text{ inch}^3

Now we have to calculate the volume of sphere B.

Given:

r = radius of sphere B = 3 inch

V_B=\frac{4}{3}\pi (3)^3

V_B=36\pi \text{ inch}^3

Now we have to calculate the ratio of the volume of Sphere A to the volume of Sphere B.

\frac{V_A}{V_B}=\frac{\frac{256}{3}\pi \text{ inch}^3}{36\pi \text{ inch}^3}

\frac{V_A}{V_B}=\frac{64}{27}

Therefore, the ratio of the volume of Sphere A to the volume of Sphere B is, 64 : 27

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Step-by-step explanation:

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