A tennis ball has a radius of 6.7 centimeters. What is the volume of a tennis ball? Use 3.14 for pi. Round your answer to the nearest hundredth.
A tennis ball is a sphere
Volume of a sphere ===> \(v= \frac{4}{3} \pi r^3\)
Plug in the given info
\(v= \frac{4}{3} (3.14) (6.7)^3\)
Do the math to get a final answer of:
\(v= \frac{4}{3} (3.14) (6.7)^3=1259.19cm^3\)
Answer: Volume of tennis ball= 1,259.20 cubic centimeters.
Explanation:-
Radius of tennis ball = 6.7 centimeters
We know that volume of sphere\(=\frac{4}{3}\pi\ r^3\)
Volume of tennis ball\(=\frac{4}{3}\cdot3.14\cdot(6.7)^3\)
\(=\frac{4}{3}\cdot944.39=1,259.1944\approx1,259.20\ cm^3\)
Therefore, volume of tennis ball= 1,259.20 cubic centimeters.