CPM Homework Help : GC Problem 11-64

As Shannon peeled her orange for lunch, she realized that it was very close to being a sphere. If her orange has a diameter of $8$ centimeters, what is its approximate surface area (the area of the orange peel)? What is the approximate volume of the orange? Show all work.

Hint:

The surface area of a sphere is $4πr^2$ .

The volume of a sphere is $\frac{4}{3} \pi r^3$

Answer:

$\text{Surface area}=4\pi(4)2=64\pi\approx201.1\text{ cm}^2$

$\text{Volume}=\frac{4}{3}\pi(4)^3=85.3\pi\approx268.1\text{ cm}^3$