Given a sphere of diameter 30 inches The sphere is divided i

Given a sphere of diameter 3.0 inches. The sphere is divided into 8 wedges (similar to a section of an orange), what is the surface area and volume of one wedge?

Solution

D = 3 inches

So, r = 1.5 inches

V = 4pi*r^3/3

So, volume of one wedge = V/8 = (1/8)*(4pi*1.5^3/3)

V = 1.767 cubic inches approx ---> VOLUME

A = 4pi*r^2

So, area of one wedge = (1/8)*4pi*r^2

A = (1/8)*(4pi * 1.5^2)

A = 3.534 square inches ---> AREA