2021 · Q76
Consider the following for the next three (03) items that follow : A solid consisting of a right circular cone of radius x and height 2x standing on a hemisphere of radius x (take π = 22/7). The volume of the solid is equal to that of a
Elementary MathematicsMensuration
- Asphere of radius x
- Bsphere of diameter x
- Ccylinder of radius x
- Dcylinder of radius √2 x
Explanation
Cone volume = (1/3)πx²·2x = (2/3)πx³; hemisphere = (2/3)πx³. The solid's volume is (4/3)πx³, exactly the volume (4/3)πr³ of a sphere of radius x. This is option (a).