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Area of the base of a cone is 1386 cm². Height of the cone is 54 cm. If cone is melted to form solid hemisphere of radius 3 cm, then how ma…

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Area of the base of a cone is 1386 cm². Height of the cone is 54 cm. If cone is melted to form solid hemisphere of radius 3 cm, then how many hemisphere will be formed?

A441
B882
C664
D332

Correct answer: A

Explanation

Volume of cone = ⅓ × 1386 × 54 = 24948 cm³. Volume of one hemisphere = ⅔π × 3³ = 18π ≈ 56.57 cm³. Number of hemispheres = 24948 ÷ 56.57 = 441.

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