Question

The volume of a cylinder of height8cm is1232cm .Find the curved surface area and the total surface area

Answer 1

Given: Volume = 1232 cm³ , Height = 8 cm

Volume = πr²h

1232 = 22/7×r²×8

1232×7 = 22×8×r²

8624 = 176×r²

8624/176 = r²

49 = r²

radius = 7

Curved surface area = 2πrh

= 2×22/7×7×8

= 352 cm²

Total surface area = 2πr(r+h)

=2×22/7×7(7+8)

=660 cm²