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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

942 cubic inches
942 cubic inches

47.1 cubic inches
47.1 cubic inches

235.5 cubic inches

Answer 1

To find the volume of a cone, you can use the formula:

\[ V = \frac{1}{3} \pi r^2 h \]

where:

• \( V \) is the volume,
• \( r \) is the radius of the base,
• \( h \) is the height.

Given:

• Radius \( r = 9 \) inches,
• Height \( h = 5 \) inches,
• Using \( \pi \approx 3.14 \).

Now, substituting the values into the formula:

\[ V = \frac{1}{3} \times 3.14 \times (9)^2 \times 5 \] \[ = \frac{1}{3} \times 3.14 \times 81 \times 5 \] \[ = \frac{1}{3} \times 3.14 \times 405 \] \[ = \frac{1277.7}{3} \] \[ = 425.9 \text{ cubic inches} \]

The closest option is:

423.9 cubic inches

So the answer is:

423.9 cubic inches.