Respuesta :
Radius of ball is 6 inches. Then the volume is 904.32 [tex]in^3[/tex]
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:
[tex]\text { volume of sphere }=\frac{4}{3} \pi r^{3}[/tex]
where r is the radius.
Here in our problem, r = 6
[tex]\text { Then, volume }=\frac{4}{3} \times \pi \times 6^{3}[/tex]
[tex]\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}[/tex]
Hence the volume is 904.32 [tex]in^3[/tex]
