ISEE Upper Level Math : How to find the surface area of a cone

Study concepts, example questions & explanations for ISEE Upper Level Math

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Example Questions

Example Question #1 : Cones

What is the surface area of a cone with the following measurements?

\(\displaystyle r=4;d=8;h=10\)

Possible Answers:

\(\displaystyle 5+64\pi\)

\(\displaystyle 5+16\pi\)

\(\displaystyle 5+4\pi\)

\(\displaystyle 5+8\pi\)

Correct answer:

\(\displaystyle 5+16\pi\)

Explanation:

The surface area of a cone can be found with the following equation:

\(\displaystyle SA=\frac{1}{2}h+r^2\pi\)

\(\displaystyle SA=\frac{1}{2}(10)+4^2\pi=5+16\pi\)

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