Question

if the total surface area of a cylinder of same radius and height is 54 pie sq cm, find its volume

Answer 1

If there is same radius and height then,
h=r
TSA of cylinder = 2 πr(h+r)
54π =2πr(r+r)//h=r
27=2r²
r²=27/2
r²=13.5
r=3.67
r=h;
Volume of cylinder=πr²h;
→22/7*13.5*3.67
=3.14*13.5*3.67
=314/100*135/10*367/100
=15557130/100000
=155.57cm³