A closed cylinder has volume V and surface area A that satisfy the equation 2V = A. If the radius of the cylinder is 2.0 cm, what is its height?

Answer 1

2V = A Volume of cylinder = pir²h surface area of closed cylinder =2pir²+ 2pirh

2(pi) r²h = 2pir² + 2pirh

2pir²h = 2pir ( r + h )

2pir²h/2pir = r + h

rh = r + h r =2

2h = 2 +h

2h - h = 2

h = 2 cm

Answer 2

V = π(2²)h, 2V = π(2³)h

A = 2π(2)h

8πh = 4πh