Question

The radius of a softball is almost 2 inches. The radius of a basketball is almost 5 inches How would the volume of a basketball compare to the volume of a softball ?
A)
About 2.5 times that of the softball
B)
About 7.5 times that of the softball
C)
About 6.25 times that of the softball
D)
About 15.625 times that of the softball

Answer 1

Help please?

Answer 2

the ratio of the volumes would be the cubes of their radii.

5^3 / 2^3

Answer 3

* would be ratio of the cubes of their radii

Answer 4

work it ou
it should come to one of your options.

Answer 5

I used a the volume of the sphere equation and compared the two but just not getting the answer. Also what do you mean by 5^3/2^3?

Answer 6

if you have 2 figures of similar 3D shapes - 2 spheres in this case
then the ratio of corresponding lengths ( in this case the radii) = 5 / 2

so the volumes are in the ratio 5^3 / 2^3 or 125 / 8

Answer 7

you dont need to calculate the actual volumes

Answer 8

now if you divide 125 by 8 you get your answer

Answer 9

Ok thanks for your help.

Answer 10

yw