A solid right circular cone is cut into two parts at the middle of itsheight by a plane parallel to its base. The ratio of the volume of thesmaller cone to the whole cone is: 1:2 (b) 1:4 (c) 1:6 (d) 1:8

A solid right circular cone is cut into two parts at the middle of its

1.	A solid right circular cone is cut into two parts at the middle of itsheight by a plane parallel to its base. The ratio of the volume of thesmaller cone to the whole cone is: 1:2 (b) 1:4 (c) 1:6 (d) 1:8
Answer» For larger cone,`tan(theta)= R/h`For smaller cone,`tan(theta)=r/(h/2)=2r/h`Hence, `R=2r` Required ratio= `(1/3r^2h/2)/(1/3R^2h)`Therefore, Requied Ratio=1/8.

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A solid right circular cone is cut into two parts at the middle of itsheight by a plane parallel to its base. The ratio of the volume of thesmaller cone to the whole cone is: 1:2 (b) 1:4 (c) 1:6 (d) 1:8

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