Question

Find the volume of a right circular cone that has a height of 19 ft and a base with a diameter of 18.7 ft. Round your answer to the nearest tenth of a cubic foot.

Answer 1

1,793.7 ft³

Explanation:

please see attached for reference

The volume of a right circular cone is given by

Volume, V = (1/3) πr²h where,

V = volume of cone

r = radius = (1/2) diameter = 18.7/2 = 9.35 ft

h = height of cone = given as 19 ft

π = 3.142

Substituting the above values into the equation:

V = (1/3) πr²h

= (1/3) (3.142) (9.35)²(19)

= 1,739.6595 ft³

= 1,793.7 ft³ (nearest tenth)