Find the volume of a right circular cone that has a height of 12.2 cm and a base with a circumference of 18.5 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answer 1

First, we need to figure out the radius of the base of the cone. Since the circumference of the base is 18.5 cm, we can use the formula for the circumference of a circle (C = 2πr) to find the radius:

18.5 = 2πr
r = 18.5 / (2π)
r ≈ 2.9 cm

Now, we can use the formula for the volume of a cone, which is V = (1/3)πr^2h, where r is the radius of the base and h is the height:

V = (1/3)π(2.9)^2(12.2)
V ≈ 102.3 cm^3

Therefore, the volume of the right circular cone is approximately 102.3 cubic centimeters.

Answer 2

Find the volume of a right circular cone that has a height of 18.9 in and a base with a circumference of 15 in. Round your answer to the nearest tenth of a cubic inch.

Answer 3

First, we need to calculate the radius of the base of the cone using the circumference formula:

C = 2πr
15 = 2πr
r = 15 / (2π)
r ≈ 2.4 inches

Now, we can use the formula for the volume of a cone, V = (1/3)πr^2h, where r is the radius of the base and h is the height:

V = (1/3)π * (2.4)^2 * 18.9
V ≈ 45.2 cubic inches

Therefore, the volume of the right circular cone is approximately 45.2 cubic inches.