Find V and SA of sphere and cylinder

Question

Given: O1 O2 = 16, m∠O1 KO2 = 30° Find: V and SA of sphere and cylinder

V=volume

SA= surface area

Answer 1

We have a 30-60-90 right triangle. The side opposite the 30 degree angle is O1 O2 = 16, so the side opposite the 60 degree angle KO1 O2 is KO2 and is equal to 16 sqrt(3) and that is the radius of both the cylinder and the sphere. O1 O2 = 16 is the height of the cylinder.

SA sphere 4 PI * radius **2

Volume sphere 4/3 PI * radius ** 3

SA cylinder 2 PI radius * (height + radius)

Volume cylinder PI radius **2 * height