How to find the surface area of a sphere - GRE Quantitative Reasoning

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Question

A sphere has a surface area of square inches. If the radius is doubled, what is the surface area of the larger sphere?

Answer

The surface area of the larger sphere is NOT merely doubled from the smaller sphere, so we cannot double to find the answer.

We can use the surface area formula to find the radius of the original sphere.

_r_2 = 4

r = 2

Therefore the larger sphere has a radius of 2 * 2 = 4.

The new surface area is then square inches.

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Question

Find the surface area of a sphere with a diameter of 14. Use π = 22/7.

Answer

Surface Area = 4_πr_2 = 4 * 22/7 * 72 = 616

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Question

If a sphere has a volume of cubic inches, what is its surface area?

Answer

The volume of a cube is equal to .

So we mutiply our volume by and divide by , giving us .

The surface area of a sphere is equal to , giving us .

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