the volume of a cylinder is 39600 cm and height is 14 cm. Find its lateral surface area and total surface area.
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h= 14 cm
volume of cylinder = πr²h
39600 = 22/7 × r² × 14
39600 = 44 × r²
39600 / 44 = r²
900 = r²
r = √900
r = 30 cm
LSA of cylinder = 2πrh
= 2 × 22/7 × 30 × 14
= 2 × 22 × 30 × 2
= 88 × 30
= 2640 cm²
TSA of cylinder = 2πr(h+r)
= 2 × 22/7 × 30 ( 30 + 14)
= 2 × 22/7 × 30 × 44
= 44 × 44 × 30/7
= 58080/7
= 8297.14286
= 8297.14 ( approx)
Hope it helps
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