Question

if the radius abd height of the cylinder are equal then the TSA of cylinder is equal to the​

Answer 1

Step-by-step explanation:

The surface area of a cilinder is the area of the bases + the lateral area, so:

A=2πr²+2πrh=2πr(r+h)

Which we set equal to the volume:

V=πr²h

2πr(r+h)=πr²h , divide both sides by πr get

2r+2h=rh

2h=rh−2r=r(h−2)

r(h−2)=2h

r=2hh−2