The formula for the volume of a cone is V = \frac{1}{3} \pi r^2 h, where V is the volume, r is the radius,...

Question

The formula for the volume of a cone is V = \frac{1}{3} \pi r^2 h, where V is the volume, r is the radius, and h is the height.
What is the volume of a cone with a radius of 4x and a height of 21xy^2?
A. 28\pi x^3y^2
B. 28\pi x^2y^2
C. 112\pi x^2y^2
D. 112\pi x^3y^2

SnapAndSolve AI · Accepted Answer

To find the volume of the cone, use the formula V = \frac{1}{3} \pi r^2 h.

Given:

Radius (r) = 4x
Height (h) = 21xy^2

Substitute the values into the formula:

V = \frac{1}{3} \pi (4x)^2 (21xy^2)

V = \frac{1}{3} \pi (16x^2) (21xy^2)

V = \frac{1}{3} \pi (336x^3y^2)

V = 112\pi x^3y^2

The correct answer is D. 112\pi x^3y^2.

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The formula for the volume of a cone is V = \frac{1}{3} \pi r^2 h, where V is the volume, r is the radius,...

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