Question

a solid cylinder has total surface area of 231 CM square if its curved surface area is 2/3 of the total surface area. find the volume of the cylinder

Answer 1

Answer:T.S.A. of cylinder=231sq.cm

2πr(h+r) =231sq.cm

r(h+r) = (231×7)÷(2×22)

rh+r^2=147/4...............(¡)

C.S.A of cylinder =2/3×231 sq.cm

2πrh =2×77=154sq.cm

rh = (154×7)÷(2×22)

rh = 49/2 ....................(¡¡)

Putting (¡¡) in (¡) ,we get

r^2=49/4

So,. r =7/2 cm

Then ,h=7 cm

Volume=πr^2h

'' = 22/7×49/4 ×7

'' =539/2

Volume=269.5cubic cm

Answer 2

I hope it's helps you