A cone and a cylinder have the given dimensions. Assume the cone is placed inside the cylinder

a. Explain why the cone and cylinder have the same base radius.

b. Find a general formula to find the remaining volume of the cylinder
when the cone has base radius rand heighth, the cylinder has radius rand
heighth and r, . andha are measured in the same units.

c. Use your formula from part b to calculate the remaining volume for the
cone and cylinder shown. Show your work. Use 3.14 for

d. Discuss how your formula from part b changes if the cone and the
cylinder have the same base radius and the same height. What do you
notice about the remaining volume of the cylinder?