A cone and a hemisphere have equal bases and equal volumes. Find the ratio of their heights.

The volume of a hemisphere is four times that of a sphere. Find the ratio of the radius of the hemisphere to that of the sphere.

A cylinder and a cone have equal bases. The height of the cylinder is 3 cm and the area of its base is 100cm^2 . The cone is placed upon the cylinder. Volume of the solid figure so formed is 500cm^3 . Find the total height of figure

The adjoining figure shows a toy. Its lower part is a hemisphere and the upper part is a cone. Find the volume and the surface area of the toy from the measures shown in the figure. (pi = 3.14)

A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid in the form of right circular cone mounted on a hemisphere is immersed into the tub. The radius of the hemisphere is 3.5 cm and height of cone outside the hemisphere is 5 cm. Find the volume of water left in the tub. ("Take "pi=22/7)

The three vessels shown in figure have same base area. Equal volumes of a liquid are poured in the thre vessels. The force on the base will be

The radius and slant height of a cone are 5 cm and 10 cm respectively . Find the ratio of the curved surface area to the total surface area of cone.

If the radius of a sphere is equal to the diameter of a hemisphere. Find the ratio of volume of sphere to that of the hemisphere.

If the radius and the perpendicular height of a cone and cylinder is equal then write the ratio of their volumes.