The volume of a right circular cone is equal to the volume of that right circular cylinder whose height is 48 cm and diameter of its base is 20 cm.If the height of the cone is 16 cm, then what will be the diameter of its base?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 60 cm.
| Understanding/Application |
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Vol. of cone = Vol. of cylinder Diameter of cylinder = 20 cm Radius of cylinder = 10 cm Height of cylinder = 48 cm Height of cone = 16 cm Let the radius of cone be r. |
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Vol. of cylinder = Vol. of cone πr2h = (πr2h)/3 100(48) = 16r2/3 r2 = 900 r = 30 Diameter of cone = 2r = 60 cm |