# Math

What is the surface area and volume of a composite figure made up of a hemisphere and a cone in terms of pi? The radius is 10, and the slant height is 15.

Cone surface area: π(10)(15)
= 150π
Hemisphere surface area: 2π(10)^2
= 200π

350π is the surface area

Cone volume: 1/3π(10)^2(11.2)
= 373.3π
I got the height by using the pythagorean theorem.

Hemisphere volume - 2/3π(10)^3
= 666.7π

= 1040π for the volume

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