Question

find the height of the solid circular cylinder of total surface area 660cm square and radius 5cm.

Answer 1

Radius of cylinder = 5cm
T.S.A of cylinder = 660cm
2pir^2 + 2pirh = 660
2pir(r+h) = 660
2×22/7×5(5+h) = 660
220 / 7 (5+h) =660
5+h = 660 ×7/220
5+h = 3×7
5+h =21
h = 21-5
h = 16cm
So, Height of cylinder is 16cm......
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Answer 2

TSA of cylinder = 660cm
Radius of cylinder = 5cm
TSA of cylinder =
$= 2\pi \: rh \\ = 2 \times 22 \div 7 \times 5h \\ h = 2 \times 22 \div 7 \times 5 \\ h = 2 \times 22 \times 5 \\ h = 44 \times 5 \\ h = 220 \: cm$