Question

Your lab develops a synthetic compound that is extremely light but very durable. You test it by making a solid ball with a radius of 20.0 millimeters. Which of the following is closest to the volume of the synthetic compound ball, in cubic millimeters?  a.) 1,260  b.) 1,670 c.) 25,100 d.) 33,500 e.) 50,200

Answer 1

The volume of a spherical shaped object is given by

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

Given that the solid ball has a radius of 20.0 millimeters, the volume of the solid ball is given by

$V= \frac{4}{3} \pi(20)^3\approx33,510mm^3$

Therefore, the closest to the volume of the synthetic compound ball, in cubic millimeters is 33,500 cubic milimeters.