Question

A solid cylinder has TSA of 462cm2. It's CSA is one-third of its TSA . Find its volume .

Answer 1

Hope helpful
And easy to solve this question

Answer 2

TSA = 462 cm^2 ......... (1)
CSA = 1/3 × TSA
CSA = 1/3 × 462
CSA = 154 cm^2 ...........(2)
substitute (1) and (2)
2πr (r+h) / 2πrh = 462 / 154
r+h / h = 3
r+h = 3h
2h = r
h = r/2
CSA = 154
2πrh = 154
2×22/7 × r × r/2 = 154
r= 7 cm
h = r/2
h = 7/2
h= 3.5 cm
volume of cylinder = πr^2h
= 22/7 × 7 × 7 × 3.5
= 539 cm^3