Question

What is the volume of a cone with a base area of 13 sq. ft and a height of 3 ft, and what is the volume of a congruent cylinder?

A) 13π ft³, 13π ft³
B) 13π/3 ft³, 13π ft³
C) 13π ft³, 39π ft³
D) 13π/3 ft³, 39π ft³

Answer 1

The volume of the cone is 13 ft³ and the volume of the congruent cylinder is 39 ft³.

Step-by-step explanation:

The volume of a cone can be calculated using the formula:

V = (1/3) * A * h

where A is the base area and h is the height of the cone.

Substituting the values into the formula, we have:

V = (1/3) * 13 sq. ft * 3 ft = 13 ft³

The volume of a congruent cylinder with the same dimensions can be calculated using the formula:

V = A * h

Substituting the values into the formula, we have:

V = 13 sq. ft * 3 ft = 39 ft³