Question

A solid cylinder has a total surface area of 231 cm2. Its curved surface area is 2/3
of the total surface area. Find the volume of the cylinder.​

Answer 1

Answer:

hey

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•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