Volume of Cones Quick Check
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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
235.5 cubic inches
235.5 cubic inches
423.9 cubic inches
423.9 cubic inches
942 cubic inches
942 cubic inches
47.1 cubic inches
47.1 cubic inches
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The correct answer is 423.9 cubic inches.
The formula for the volume of a cone is V = 1/3 * π * r^2 * h, where r is the radius of the base and h is the height.
In this case, the radius (r) is 9 inches and the height (h) is 5 inches. Plugging these values into the formula, we get V = 1/3 * 3.14 * 9^2 * 5 = 423.9 cubic inches.