Surface Areas and Volumes Test - 2

Volume of the cone is:

What would be the side of a cube of same volume as that of cuboid of 225 m³?

The total surface area of a solid hemisphere of radius r is:

The volume and the curved surface area of a sphere are numerically equal, then the radius of sphere is:

A cylinder, a cone and a hemisphere are of the same base and of the same height. The ratio of their volumes is:

Small spheres, each of radius 2cm, are made by melting a solid iron ball of radius 6cm, then the total number of small spheres is:

A solid sphere of radius r cm is melted and recast into the shape of solid cone of height r. The radius of the base of the cone is:

Three solid spheres of diameters 6 cm. 8 cm and 10 cm are melted to form a single solid sphere. The diameter of the new sphere is:

The radii of the ends of a frustum of a cone 40 cm high are 38 cm and 8 cm. The slant height of the frustum of cone is:

If a cone is cut into two parts by a horizontal plane passing through the mid-point of the axis, then the ratio of the volumes of the small cone to that of the original cone is