find T.S.A of a cylinder is 6512 cm2 and it's circumference of it's base is 88 cm2 . find volume of cylinder?
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Answer:
Let r be the radius and h be the height of the given cylinder.
Circumference = 2πr = 88 cm (Given)
⇒ 2 × 22/7 × r = 88 cm
⇒ r = 88 × 7/22 × 1/2
⇒ r = 14 cm
Total surface area = 2πr(h + r) = 6512 cm2 (Given)
⇒ 88(h + 14) = 6512 (∵ 2πr = 88 cm and r = 14 cm)
⇒ h + 14 = 6512/88
⇒ h + 14 = 74 ⇒ h = 60 cm
∴ Volume of the cylinder = πr2h
= 22/7 × (14)2 × 60 cm3 = 36960 cm3
Step-by-step explanation:
Answered by
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Answer: 35728cm³
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