Volume of Cone

Assertion (A) : A solid is in the form of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. The volume of the solid is pi cm^3 . Reason (R) : Volume of cone = (1)/(3) pi r^(2)h and volume of hemi-sphere = (2)/(3) pi r^(3)

If the radius of the base of a cone be doubled and height is left unchanged, then ratio of the volume of new cone to that of the original cone will be :

The volume of a cone is equal to that of sphere. If the diameter of base of cone is equal to the diameter of the sphere, what is the ratio of height of cone to the diameter of the sphere ?

The volume of a cone having radius 3 cm and height 7 cm will be :

Find the ratio of the volume of a cone and a cylinder of same radii and same heights.

Find the rate of change of the volume of a cone with respect to the radius of its base.

Find the rate of change of the volume of a cone with respect to the radius of its base.

The volume of a cone having radius 3 cm and height 7 cm will be :