Question:
A Cone, a hemisphere and a cylinder stand on equal bases and have the same height. Find the ratio of their volumes.
A ) 2:4:6
B ) 1:5:8
C ) 1:2:3
D ) 1:4:6
Answer: C) 1:2:3
Explanation:
Let R be the radius of each
Height of the hemisphere = Its radius = R.
Height of each = R.
Ratio of volumes
= (1/3)∏ R2 x R : (2/3)∏R3 : ∏ R2 x R
= 1:2:3
A Cone, a hemisphere and a cylinder stand on equal bases and have the same height. Find the ratio of their volumes.
A ) 2:4:6
B ) 1:5:8
C ) 1:2:3
D ) 1:4:6
Answer: C) 1:2:3
Explanation:
Let R be the radius of each
Height of the hemisphere = Its radius = R.
Height of each = R.
Ratio of volumes
= (1/3)∏ R2 x R : (2/3)∏R3 : ∏ R2 x R
= 1:2:3
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