Say true or false-The volume of the largest right circular cone that can be fitted in a cube whose edge is 2r equals to the volume of a hemisphere of radius r-TrueFalse

Question

Toppr Admin · Accepted Answer

True-Volume of the cone-13-x3C0-r2hVolume of the hemisphere-23-x3C0-r3Since volume of cone -13-x3C0-r2-2r-23-x3C0-r3- volume of hemisphere

Say true or false:
The volume of the largest right circular cone that can be fitted in a cube whose edge is $2 r$ equals to the volume of a hemisphere of radius $r$ .
True
False

True.
Volume of the cone $= \frac{1}{3} π r^{2} h$
Volume of the hemisphere $= \frac{2}{3} π r^{3}$
Since volume of cone $= \frac{1}{3} π r^{2} . (2 r) = \frac{2}{3} π r^{3} =$ volume of hemisphere

Say true or false:The volume of the largest right circular cone that can be fitted in a cube whose edge is 2r equals to the volume of a hemisphere of radius r.TrueFalse

True.Volume of the cone=13πr2hVolume of the hemisphere=23πr3Since volume of cone =13πr2.(2r)=23πr3= volume of hemisphere

Say true or false:
The volume of the largest right circular cone that can be fitted in a cube whose edge is $2 r$ equals to the volume of a hemisphere of radius $r$ .
True
False

True.
Volume of the cone $= \frac{1}{3} π r^{2} h$
Volume of the hemisphere $= \frac{2}{3} π r^{3}$
Since volume of cone $= \frac{1}{3} π r^{2} . (2 r) = \frac{2}{3} π r^{3} =$ volume of hemisphere