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Find the volume of a right circular cone that has a height of 9 m and a base with a circumference of 19.6m. Round your answer to the nearest tenth of a cubic meter.

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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 m and the base has a circumference of 19.6 m, 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 19.6 m into the formula, we can solve for the radius:

19.6 = 2 * 3.14159 * r

Dividing both sides by 2 * 3.14159:

r = 19.6 / (2 * 3.14159)

r ≈ 3.1249 m

Now, substituting the values of the radius (approximately 3.1249 m) and height (9 m) into the volume formula:

V = (1/3) * 3.14159 * (3.1249)^2 * 9

Calculating the volume:

V ≈ (1/3) * 3.14159 * 3.1249^2 * 9

V ≈ 28.2669 cubic meters

Rounding to the nearest tenth of a cubic meter, the volume of the right circular cone is approximately 28.3 cubic meters.

User Jason Williams
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