Find the volume of a right circular cylinder whose curved surface area is 1012 cm2 and whose circumference of the base is 22 cm. (Use π = 22/7)
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Correct answer: A
Explanation
The correct answer is Option 1 i.e. 1771 cm3.
Circumference of the base = 2πr
⇒ 2πr = 22
⇒ 2 × 22/7 × r = 22
⇒ r = 7/2 = 3.5 cm
C.S.A of the right circular cylinder = 2πrh
⇒ 2πrh = 1012
⇒ 2 × 22/7 × 3.5 × h = 1012
⇒ h = (1012 × 7)/(2 × 22 × 3.5)
⇒ h = 46 cm
The volume of the cylinder = πr2h = 22/7 × 3.5 × 3.5 × 46 = 1771 cm3