Find the volume of a right circular cone that has a height of 19.4 cm and a base with a diameter of 9.9 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answer
Attempt 1 out of 2
To find the volume of a right circular cone, we can use the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height of the cone.
Given that the diameter of the base is 9.9 cm, the radius is half of that, which is 4.95 cm.
Plugging in the values into the formula, we have:
V = (1/3)π(4.95)^2(19.4)
V = (1/3)π(24.5025)(19.4)
V ≈ (1/3)(3.14159)(24.5025)(19.4)
V ≈ 153.87 cubic centimeters
Rounded to the nearest tenth, the volume of the cone is approximately 153.9 cubic centimeters.