Question

Radius of ball is 6in. What is the volume?

Answer 1

Radius of ball is 6 inches. Then the volume is 904.32 $in^3$

Solution:

Given that, radius of a ball is 6 inches.

We have to find the volume of the ball with 6 inches radius.

Now, we know that, a ball will be in a shape of sphere, so we have to use the volume of a sphere formula to find the volume of the ball.

The volume of sphere is given as:

$\text { volume of sphere }=\frac{4}{3} \pi r^{3}$

where r is the radius.

Here in our problem, r = 6

$\text { Then, volume }=\frac{4}{3} \times \pi \times 6^{3}$

$\begin{array}{l}{=\frac{4}{3} \times \pi \times 6 \times 6 \times 6} \\\\ {=4 \times \pi \times 2 \times 6 \times 6} \\\\ {=8 \times \pi \times 36} \\\\ {=288 \pi=288 \times 3.14=904.32}\end{array}$

Hence the volume is 904.32 $in^3$