find the diameter of the basketball to the nearest inch given the surface area is 271.6 square inches
V=4/3.Pi.r^3
271.6=4/3. 3.141592.r^3 divide both sides by 4/3. 3.141592
64.84=r^3 take the cubic root of sides
r=4.02 inches-this is the radius of the ball
4.02 x 2 =8.04 inches-the diameter of the ball.
+130511 I believe that the Guest has used the incorrect formula here......we need the formula for the surface area of a sphere.....so we have...
Sa = 4 pi*r^2
271.6 = 4 pi* r^2 divise both sides by 4pi
[271.6 / (4pi)] = r^2 take the square root of both sides
r = about 4.649 in
So the diameter is twice this = about 9.298 in = 9 in [ to the nearest inch]
