Find the volume of a right circular cone that has a height of 17.1 in and a base with a circumference of 16.3 in. Round your answer to the nearest tenth of a cubic inch.

Question

asked Jan 9, 2021 80.6k views

2 Answers

Michael Hewson · Answer 1 · 2021-01-13T11:53:56+0000

Answer:

Volume of the right circular cone = 1188.79 cubic inches

Explanation:

Height of the cone = 17.1 inch

Circumference of the cone= 16.3 inches

Radius = 16.3/2

= 8.15 inch

Volume of the cone is:

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

As,
$\pi =(22)/(7)=3.14$

Volume of the cone

$=3.14*(8.15*8.15)*(17.1)/(3) \\\\=3.14*(8.15*8.15)*5.7\\\\=3.14*66.42*5.7\\\\=3.14*378.59\\\\=1188.79inch^3$

Volume of the right circular cone is 1188.79 cubic inches