A solid cone has its volume 210 cub.cm. What is the height of the cone if its base area is a 120 sq. cm

A 1.75 cm

B 3.25 cm

C 5.25 cm

D 7.50 cm

E None of these

Solution

Correct Answer: Option C

Volume of the cone is (1/3) πr2h.

Area of the base is given by πr2.

Given, volume is 210 cc and area is 120 sq. cm.

Put the value of area of base in volume of cone = (1/3) × 120 × h = 210

⇒ h = 210/40

⇒ h = 5.25cm

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