The radius of a sphere is given by the formula $r=\sqrt{\frac{S}{4 \pi}}$, where $S$ is the surface area. If the surface area is 8709 square inches, what is the radius? Use 3.14 for $\pi$, and round your answer to the nearest tenth of an inch.
A) 46.7 inches
B) 82.7 inches
C) 0 inches
D) 26.3 inches

Question

Quizplus · Accepted Answer

The radius $r$ can be calculated by substituting $S = 8709$ square inches and $\pi = 3.14$ into the formula $r=\sqrt{\frac{S}{4 \pi}}$. This gives $r = \sqrt{\frac{8709}{4 \times 3.14}} \approx 26.3$ inches.

The Radius of a Sphere Is Given by the Formula r=S4πr=\sqrt{\frac{S}{4 \pi}}r=4πS​​

The Radius of a Sphere Is Given by the Formula $r=\sqrt{\frac{S}{4 \pi}}$