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.
+514 the lateral area of a cylinder is \(2πrh\)
so \(2\pi r\cdot 6=48\pi\) and \(r=4\)
so the volume is \(96\pi \)
CPhill got something different so i'm not sure
+128407 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
+514 the lateral area of a cylinder is \(2πrh\)
so \(2\pi r\cdot 6=48\pi\) and \(r=4\)
so the volume is \(96\pi \)
CPhill got something different so i'm not sure
