Questions: 5 surface Area and Volume of Spheres and the surface area and volume of the following, Round to the terms of pi. Volume = Surface Area =

Solution Steps

The given figure shows a sphere with a diameter of 12 units. The radius is half of the diameter. Radius \(r = \frac{12}{2} = 6\)

The surface area of a sphere is given by the formula \(4\pi r^2\). Surface Area \(= 4\pi(6^2) = 4\pi(36) = 144\pi\)

The volume of a sphere is given by the formula \(\frac{4}{3}\pi r^3\). Volume \(= \frac{4}{3}\pi (6^3) = \frac{4}{3}\pi(216) = 4\pi(72) = 288\pi\)

Final Answer