if the volume of a cone is 345 and its height is 9 what is the area of the base
Vcone = pi * r^2 * h / 3 where h is the height and pi* r^2 is the area of the base.....so we have....
345 = [ pi * r^2] * 9 / 3 multiply both sides by 3
1035 / [ 9 * pi] = r^2 take the square root of both sides
√ ( [ 1035] / [9 * pi] ) = r = about 6.05 units
So....the base area = pi * (6.05)^2 = about 115 units^2