Answer:
143.7cm^2
Explanation:
Given data
Volume= 576cm^3
Radius= 8cm
The expression for the volume of cylinder is
V= πr^2h
substitute
576= 3.142*8^2*h
576= 3.142*64*h
576= 201.088h
h= 576/201.088
h=2.86cm
The formula for finding the lateral area of a right circular cylinder is:
A=2πrh
substitute
A= 2*3.142*8*2.86
A= 143.7cm^2
Hence the area is 143.7cm^2