The height of a cylinder is 20 cm. The lateral surface area is 1760 cm2. Its volume is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 12320 cm3.
We know that,
The lateral surface area (LSA) of a cylinder = 2πrh
here, r = radius, h = height
⇒ 1760 = 2 × 22/7 × r × 20
⇒ r = (1760 × 7)/(2 × 22 × 20)
⇒ r = (40 × 7)/20
⇒ r = 14 cm
Now,
The volume of the cylinder = πr2h
⇒ 22/7 × 14 × 14 × 20
⇒ 22 × 2 × 14 × 20
⇒ 12320 cm3