Show that the volume of a segment of height h of a sphere of radius R is
`V=(1)/(3)pi h^(2)(3R-h)`

Using the method of integration, show that the volume of a right circular cone of base radius r and height h is V=1/3pir^2h .

Using the method of integration, show that the volume of a right circular cone of base radius r and height h is V=1/3pir^2h .

Find the volume of a right-circular cone of base radius r and height h.

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is (2R)/(sqrt(3)) .

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is (2R)/(sqrt(3)) .

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is (2R)/(sqrt(3)) .

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is (2R)/(sqrt(3)) . Find the volume of the largest cylinder inscribed in a sphere of radius R.