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Find the volume of a right circular cone that has a height of 9cm and a base with a circumference of 16.9cm. Round your answer to the nearest tenth of a cubic centimeter.

User Jahu
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To find the volume of a right circular cone, we can use the formula:

V = (1/3) * π * r^2 * h

where V is the volume, r is the radius of the base, and h is the height of the cone.

Given that the height of the cone is 9 cm and the base has a circumference of 16.9 cm, we can find the radius of the base.

The circumference of a circle is given by the formula:

C = 2 * π * r

Substituting the given circumference of 16.9 cm into the formula, we can solve for the radius:

16.9 = 2 * 3.14159 * r

Dividing both sides by 2 * 3.14159:

r = 16.9 / (2 * 3.14159)

r ≈ 2.6878 cm

Now, substituting the values of the radius (approximately 2.6878 cm) and height (9 cm) into the volume formula:

V = (1/3) * 3.14159 * (2.6878)^2 * 9

Calculating the volume:

V ≈ (1/3) * 3.14159 * 2.6878^2 * 9

V ≈ 64.1186 cubic centimeters

Rounding to the nearest tenth of a cubic centimeter, the volume of the right circular cone is approximately 64.1 cubic centimeters.

User Capitalistcuttle
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