The lateral surface area of a cylindrical tube with a height of 6 cm is 48π square centimeters. In cubic centimeters, what is the tube's volume? Express your answer in terms of π.
the lateral area of a cylinder is 2πrh
so 2πr⋅6=48π and r=4
so the volume is 96π
CPhill got something different so i'm not sure
Lateral surface area = 2pi * r * h
So
48 pi = 2 pi * r * 8
48 = 2 * 8 * r
48 = 16 r
r = 48 /16 = 3 cm
Volume = pi * r^2 * h =
pi * 3^2 * 8 =
72 pi cm^3
the lateral area of a cylinder is 2πrh
so 2πr⋅6=48π and r=4
so the volume is 96π
CPhill got something different so i'm not sure