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11111nata11111 [884]
3 years ago
12

A cone has a surface area of 200 pi square inches. If the radius of the

Mathematics
1 answer:
Helen [10]3 years ago
5 0

Answer:

20\:\mathrm{in}

Step-by-step explanation:

The lateral surface area of a cone is given by A=\pi r\ell, where r is the radius of the base of the cone and \ell is the cone's slant height.

Solving for \ell:

200\pi=10\pi\ell,\\\ell=\frac{200\pi}{100\pi}=\boxed{20\:\mathrm{in}}

*Note: It is implied that the surface area of 200 pi square inches is lateral surface area and not total surface area, because it is impossible to obtain a total surface area of 200 pi with a radius of 10 inches.

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