Use the image to answer the question.
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
423.9 cubic inches
423.9 cubic inches
47.1 cubic inches
47.1 cubic inches
942 cubic inches
942 cubic inches
235.5 cubic inches
235.5 cubic inches
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page 16 of 16
The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the base radius and h is the perpendicular height.
In this case, the base radius is given as 9 inches and the perpendicular height is given as 5 inches.
Substituting these values into the formula: V = (1/3)π(9^2)(5) = (1/3)π(81)(5) = (1/3)(3.14)(405) = 423.9 cubic inches.
Therefore, the volume of the cone is 423.9 cubic inches.