Question

Volume of Cones Practice

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Question
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A right cone shows a base diameter of 10 millimeters and a perpendicular height of 9 millimeters. A right angle is formed with the diameter and the height at the center of the circular base.

What is the volume, in cubic millimeters, of the cone? Round your answer to the nearest tenth.(1 point)
cubic millimeters

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

V = (1/3) * π * r^2 * h

where:
V = Volume
π = Pi (approximately 3.14159)
r = Radius of the base (half of the diameter)
h = Height

In this case, the base diameter is 10 mm, so the radius would be half of that, which is 5 mm. The height is given as 9 mm.

Plugging these values into the formula, we get:

V = (1/3) * π * (5 mm)^2 * 9 mm

Calculating this, we find:

V = (1/3) * 3.14159 * 25 mm^2 * 9 mm
V ≈ 235.5 mm^3

Rounded to the nearest tenth, the volume of the cone is approximately 235.5 cubic millimeters.