Question

Find the volume of a right circular cone that has a height of 12.4 in and a base with a diameter of 15.6 in. Round your answer to the nearest tenth of a cubic inch.

Answer 1

To find the volume of a right circular cone, use the formula V = 1/3 * pi * r^2 * h, where V is the volume, r is the radius of the base, and h is the height of the cone. Plugging in the given values, we find that the volume of the cone is approximately 259.7 in^3.

Step-by-step explanation:

To find the volume of a right circular cone, we use the formula V = 1/3 × π × r² × h, where V is the volume, π is the mathematical constant pi (approximately 3.14159), r is the radius of the base, and h is the height of the cone.

Given that the height of the cone is 12.4 in and the diameter of the base is 15.6 in, we need to find the radius, which is half of the diameter. Therefore, the radius is 15.6 / 2 = 7.8 in.

Plugging the values into the formula, we get V = 1/3 × 3.14159 × (7.8)² × 12.4 = 259.7225 in3.

Rounding to the nearest tenth, the volume of the cone is approximately 259.7 in3.

Answer 2

r = d/2
r = 15.6/2
r = 7.8 in.
thus the radius of the right circular cone is 7.8
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
thus the volume of the right come is 789.622 cubic inches