If a solid cone of volume 27π cm3 is kept inside a hollow cylinder wh…

Question

If a solid cone of volume 27π cm3 is kept inside a hollow cylinder whose radius and height are equal to that of the cone, then the volume of water needed to fill the empty space is

Accepted Answer

Option C. 54π cm 3. Answer & Solution Answer: Option C Solution: Volume of cone = 1/3 r^2h Volume of cylinder = r^2h Volume of water = Volume of cylinder - volume of cone & = r^2h - 1/3 r^2h & = 2/3 r^2h & = 2 ( 1/3 r^2h ) & = 2 × 27 & = 54 c m^3