Question

The total surface area of a solid cylinder is 231 cm and its curved surface area is 2/3 of the total surface area. Find the volume of the cylinder.

Answer 1

hey
____________________


•TSA =231 (given)

•CSA = 2/3 of TSA
= 2/3×231 = 154
•2πrh = 154

•TSA = 2πrh + 2πr^2

231= 154+2×22/7×r^2
231-154= 44/7r^2
77×7/44 = r^2
√49/4 = r
7/2 = r
3.5 = r

•CSA =154
2πrh = 154
2×22/7×35/10×h = 154
h = 7 cm

•now Volume = πr^2h
= 22/7 × 35/10×35/10×7
= 49×11/2
= 539/2
= 269.5 cm^3

hope helped
__________________

Answer 2

Hope it will help you