Question

A softball has a circumference of 12 inches. What is the softball's approximate volume? A. 16.41 in.^3 B. 24.56 in.^3 C. 29.18 in.^3 or D. 31.27 in.^3

Answer 1

Answer:

C. 29.18 in.^3

Step-by-step explanation:

step 1

Find the radius of the softball

The circumference is equal to

$C=2\pi r$

substitute the given values

$12=2(3.14) r$

solve for r

$r=1.91\ in$

step 2

Find the volume

The volume of the sphere is equal to

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

substitute

$V=\frac{4}{3}(3.14)(1.91)^{3}=29.18\ in^3$