The lateral area of a cylinder is 3168 cm2 and its height is 48 cm. Find the volume.
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Correct answer: D
Explanation
The correct answer is Option 4 i.e. 16632 cm3.
Volume of Cylinder = πr2h
The curved Surface area of the cylinder = 2πrh
r = radius of the cylinder
Calculation :
⇒ 2πrh = 3168
⇒ 2 × 22/7 × r × 48 = 3168
⇒ r = 3168 × 7/(2 × 22 × 48)
⇒ r = 22176/2112
⇒ r = 10.5 cm
Volume = 22/7 × 10.5 × 10.5 × 48 = 16632 cm3