If the diameter of a regulation size basketball is 9.4 inches, what is the surface area? Round to the nearest tenth.

A. 59.1 in²

B. 69.4 in²

C. 88.4 in²

D. 277.6 in²

Given,

Diameter of the basketball = 9.4 inches

∴ Radius of the basketball = diameter : 2 = 9.4 : 2 = 4.7 inches

π = 3.14159

Surface area of the basketball is the surface area of the sphere = 4 π r² = 4 * 3.141 x 4.7² = 277.59 = 277.6 inches²

SA=4pir^2

d/2=r

9.4/2=r=4.7

SA=4*3.141592*4.7^2

SA=227.591

answer is D