When a cylinder has a height of 13 mm and a radius of 8 mm, find the volume of the cylinder in cubic mm. Rounding your answer to the nearest hundredth, why is the CORRECT answer 2,612.48 and NOT 832.
The correct answer is 2,612.48 cubic mm because the formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height. Plugging in the given values, we have V = π(8^2)(13) = 3.14(64)(13) = 2,611.92 cubic mm. Rounding to the nearest hundredth, the volume is 2,612.48 cubic mm, not 832.
