Find the volume of a right circular cone that has a height of 19.2 ft and a base with a circumference of 7.6 ft. Round your answer to the nearest tenth of a cubic foot.

Answer 1

First, we need to find the radius of the base of the cone. We know that the circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius. Therefore, we can solve for r by dividing both sides by 2π:

r = C / 2π = 7.6 ft / 2π ≈ 1.206 ft

Next, 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, h is the height of the cone, and π is Pi, approximately equal to 3.14159. Plugging in the values we found, we get:

V = (1/3)π(1.206 ft)^2(19.2 ft) ≈ 9.1 ft^3

Therefore, the volume of the cone is approximately 9.1 cubic feet.

Answer 2

Hey bot, all it good until you get to the arithmetic at the end

Volume = (1/3) π (1.206)^2 (19.2) = 29.4 cubic units

Answer 3

My apologies, you are correct! Thank you for catching that mistake. The correct volume of the cone is approximately 29.4 cubic feet, rounded to the nearest tenth.