Question

The base of a road construction cone has a diameter of 20 inches. The

cone is 36 inches tall. Filling the cone with concrete will help keep the
cone in position. Approximately how much concrete can the cone hold?
A. 3,770 in.
B. 1,200 in.
C. 754 in.
D. 377 in.

Note- Please explain how you got the answer

Answer 1

A. 3,770 in³

Explanation:

The formula for the volume of a cone is useful for this.

V = (1/3)πr²h

where r is the radius and h is the height. Filling in the numbers given in the problem statement, the volume of the cone is found to be ...

V = (1/3)π(10 in)²·(36 in) = 1200π in³

V ≈ 3769.91 in³ ≈ 3770 in³ . . . . matches selection A