A cone and cylinder have the same volume.If their heights are same then the ratio of the base radii of the cone to the cylinder is?
Answers
Answered by
1
Let the height of the cone and cylinder be H.
Radius of cone=r
Radius of the cylinder=R
Volume of a cylinder= πR^2h
Volume of a cone =(πr^2h)/3
According to the given information,
Volume of the cone=Volume of the cylinder
or, (πr^2h)/3= πR^2h
or, (r^2)/3=R^2
Rooting both the sides,
r/√3=R
or, r/R=√3/1
or, r:R=√3:1
Radius of the cone:Radius of the cylinder= √3:1
Radius of cone=r
Radius of the cylinder=R
Volume of a cylinder= πR^2h
Volume of a cone =(πr^2h)/3
According to the given information,
Volume of the cone=Volume of the cylinder
or, (πr^2h)/3= πR^2h
or, (r^2)/3=R^2
Rooting both the sides,
r/√3=R
or, r/R=√3/1
or, r:R=√3:1
Radius of the cone:Radius of the cylinder= √3:1
Similar questions