Surface of a sphere in square inches

Geometry Level 2

The volume of a sphere is 4190 cubic inches. What is it's surface area in square inches? Round off your answer to the nearest integer. Use $\frac{22}{7}$ for the approximation of $\pi$ .

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1 solution

A Former Brilliant Member
Apr 2, 2018

$v=\dfrac{4}{3} \pi r^3$

$4190 = \dfrac{4}{3} \times \dfrac{22}{7} \times r^3$

$r=10$

$s=4 \pi r^2 = 4 \times \dfrac{22}{7} \times 10^2 = \boxed{1257}$

Surface of a sphere in square inches

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