Find the volume of a right circular cone that has a height of 11.9 in and a base with a radius of 14 in. Round your answer to the nearest tenth of a cubic inch.
heres a example to help solve this one:Volume of Cone:
V, equals, one third, pi, r, squared, h
V=
3
1
πr
2
h
h, equals, 14, point, 3, r, equals, 5, point, 3
h=14.3r=5.3
Needed information
V, equals, one third, pi, r, squared, h
V=
3
1
πr
2
h
V, equals, one third, pi, left bracket, 5, point, 3, right bracket, squared, left bracket, 14, point, 3, right bracket
V=
3
1
π(5.3)
2
(14.3)
Plug in
V, equals, 420, point, 6, 4, 5, 6, 4, 2, 7, 4, 7, 5, 0, 8
V=
420.645642747508
Evaluate in calculator
V, approximately equals, 420, point, 6, m, cubed
V≈
420.6 m
3
The volume of the right circular cone is approximately 872.6 cubic inches.
You are wrong
I apologize for the mistake. Let's calculate the correct volume of the cone.
Given:
Height (h) = 11.9 inches
Radius (r) = 14 inches
Volume of a cone formula:
V = (1/3) * π * r^2 * h
Substitute the values:
V = (1/3) * π * 14^2 * 11.9
V ≈ (1/3) * π * 196 * 11.9
V ≈ (1/3) * π * 2332.4
V ≈ 2449.03 cubic inches
Therefore, the volume of the right circular cone with a height of 11.9 inches and a base radius of 14 inches is approximately 2449.0 cubic inches.