Question

n ceramics class, Robert made a cone with a radius of 2.5 inches and a height of 9 inches. What was the volume of the cone?
Round your answer to the nearest whole number.
cubic inches
Later, Robert made a cylinder with the same radius and height as the cone. What is the volume of the cylinder?
Round your answer to the nearest whole number.
cubic inches
Complete the sentence below that describes the relationship between the volumes of the cone and cylinder. Use a whole number.
The cone and cylinder have the same height and radius, so the volume of the cylinder is
times the volume of the cone.

Answer 1

Volume of cone = (1/3)πr^2h = (1/3)π(2.5^2)(9) = 18.75π ≈ 58.905 → 59 cubic inches.

Volume of cylinder = πr^2h = π(2.5^2)(9) = 56.25π ≈ 176.715 → 177 cubic inches.

The cone and cylinder have the same height and radius, so the volume of the cylinder is 3 times the volume of the cone.