If a hemisphere of radius 21 cm is melted and recast to form a cone of height 42 cm, then the radius of cone is ___.
A
1:2
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B
2√3:√5
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C
2√2:3
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D
√2:√3
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Solution
The correct option is D√2:√3 Given: Radius of the hemisphere = 21 cm Height of the cone is = 42 cm Let the radius of the cone be r. Volume of cone = Volume of hemisphere 13π×r2×42=23π×21×21×21 r2=212 r = 21 cm