The radius of the base of a cylindrical tank is 4m. If three times the sum of the areas of its circular faces is twice the area of its curved surface, then the capacity (in kiloliters) of the tank is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 96π
The radius of the base of a cylindrical tank is 4m.
It is given that three times the sum of the areas of its circular faces is twice the area of its curved surface.
⇒ 3 × 2πr2 = 2 × 2πrh
⇒ 6r = 4h
⇒ h = 6m.
Volume of cylinder = πr2h.
⇒ π × 4 × 4 × 6 = 96π.