What is the volume of a right cylinder cone that has a height of 12.4in and a base with a diameter of 15.6in. Round to the nearest tenth of a cubic inch

Question

asked Sep 11, 2021 194k views

2 Answers

Igor Martins · Answer 1 · 2021-09-14T17:45:21+0000

Given:

The height of the right circular cone is 12.4 in

The diameter of the right circular cone is 15.6 in.

We need to determine the volume of the right circular cone.

Radius of the right circular cone:

The radius of the right circular cone is given by

r=(d)/(2)

r=(15.6)/(2)

$r=7.8 \ in$

Thus, the radius of the right circular cone is 7.8 in.

Volume of the right circular cone:

The volume of the right circular cone can be determined using the formula,

$V=(1)/(3) \pi r^2 h$

Substituting the values, we have;

V=(1)/(3) (3.14)(7.8)^2(12.4)

V=(1)/(3) (3.14)(60.84)(12.4)

V=(2368.866)/(3)

V=789.622

Rounding off to the nearest tenth, we get;

$V=789.6 \ in^3$

Thus, the volume of the right circular cone is 789.6 cubic inch.