Question

Mary is making a pinata that has a ball-like shape. The pinata has a surface area of 40 feet. Use the formula for the surface area of a sphere: (S=4πr^2) to find the radius of the pinata. Round your answers to the nearest hundredth.

Answer 1

`S=4\pi r^2\ \ \ and\ \ \ S=40\ [feet]\ \ \ \Rightarrow\ \ \ 4\pi r^2=40\ /:4\pi\\ \\r^2= (10)/(\pi) \ \ \ \Rightarrow\ \ \ r= \sqrt{ (10)/(\pi)} \ \ \ \Rightarrow\ \ \ \ r\approx1.78\ [feet]`