Question

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

Answer 1

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