Mathematics
The sum of the height and the radius of a solid cylinder is 35 cm and its total surface area is 3080 cm2; find the volume of the cylinder.
Mensuration
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Answer
According to question,
h + r = 35 ………(1)
Total surface area = 3080
⇒ 2πr(h + r) = 3080
⇒ 2πr × 35 = 3080
⇒ = 3080
⇒ 220r = 3080
⇒ r =
⇒ r = 14 cm.
⇒ h + r = 35
⇒ h + 14 = 35
⇒ h = 35 - 14
⇒ h = 21 cm.
Volume of cylinder = πr2h
=
= 22 × 2 × 14 × 21
= 12936 cm3.
Hence, volume of cylinder = 12936 cm3.
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