Question

the total surface area of a cylinder is 462 cm square. its curved surface area is one third of its total surface area . find volume of the cylinder

Answer 1

Step-by-step explanation:

Total Surface Area of solid cylinder= 2πr(r+h) .

So,

2πr(r+h)=462

2πr2+2πrh=462

2πr2+4623=462 (since Curved Surface Area of cylinder= 2πrh)

2πr2=308

πr2=154

r2=154×722

r2=72

r=7cm

Now,

2πrh=154

h=154×722×7×2

h=72cm

Volume of cylinder= πr2h

=22×737×2

=539cm3