Find the volume of a right circular cone that has a height of 18.8 in and a base with a diameter of 14.3 in. Round your answer to the nearest tenth of a cubic inch.

Question

asked Jan 27, 2021 137k views

2 Answers

Cristik · Answer 1 · 2021-01-31T13:08:50+0000

Answer:

The volume of the cone is 1006.9in³

Explanation:

Given

$Height = 18.8\ in$

$Diameter = 14.3\ in$

Required

Calculate the volume;

The volume of a cone is calculated as thus;

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

Where V represents volume; r represents radius; and h represents height

The radius is calculated as thus;

r = (1)/(2)Diameter

r = (1)/(2) * 14.3

r = 7.15

Substitute
r = 7.15 ;
h = 18.8 and
$\pi = (22)/(7)$

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

V = (1)/(3) * (22)/(7) * 7.15^2 * 18.8

V = (1)/(3) * (22)/(7) * 51.1225 * 18.8

V = (22* 51.1225 * 18.8)/(3 * 7)

V = (21144.266)/(21)

V = 1006.86980952

$V = 1006.9\ in^3$ (Approximated)

Hence, the approximated volume of the cone is 1006.9in³