Asked by Naomi

A basketball has a surface area of 1810 in^2 and a baseball has a surface area of 6 in^2.

What is the diameter of a baseball if the diameter of a basketball is 9.5 in^2.
Answered by Damon
area is proportional to length dimension squared for similar objects

D^2/d^2 = A/a

Howevr what you typed makes no sense.
1. diameter of basketball is not in square inches
If the diameter is 9.5 inches, the area is not 1810
area = 4 pi r^2 =4*3.14*4.75^2 =283 in^2

by the way volume =(4/3) pi r^3 =448 in^3
Answered by Reiny
1. A diameter has a diameter measured in inches not inches^2
2. A basketball with a diameter of 9.5 inches has a radius of 4.75 inches and a surface area of
4π(4.75)^2 in^2 or 283.53 in^2 , not 1810

But all that is not needed
if the radius of the baseball is r inches, then
4πr^2 = 6
r^2 = 3π/2
r = appr 2.1 inches, so the diameter would be 4.2 inches according to the given data
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