Volume of Cones Quick Check

Question

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Question
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An oblique cone shows a base radius of 9 inches. The perpendicular height is 5 inches from the apex to the base outside the cone. A right angle is formed outside the cone to the right. A dashed diagonal line connects the center of the circular base to the apex.

What is the volume of the cone? Use 3.14 for pi.

(1 point)
Responses

942 cubic inches
942 cubic inches

423.9 cubic inches
423.9 cubic inches

47.1 cubic inches
47.1 cubic inches

235.5 cubic inches
235.5 cubic inches
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Answer 1

The correct answer is 423.9 cubic inches.

To calculate the volume of a cone, you can use the formula V = (1/3)πr^2h, where r is the radius of the base and h is the perpendicular height from the apex to the base.

Plugging in the values given:
V = (1/3) * 3.14 * 9^2 * 5
V = (1/3) * 3.14 * 81 * 5
V = (1/3) * 3.14 * 405
V ≈ 423.9

Therefore, the volume of the cone is approximately 423.9 cubic inches.