Two cubes each of volume 64 $$cm^3$$   are joined end to end. Find the total surface area of the resulting cuboid.

A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a sphere. The radius of the sphere is

The radius of two similar right circular cones are 2 cm and 6 cm. The ratio of their volumes is

If the diameter of the base of a cylindrical pillar is 4 m and its height is 21 m, then the cost of construction of the pillar at Rs. 1.50 per cubic metre is:

The radius of a cylinder is doubled and the height remains the same. The ratio between the volumes of the new cylinder and the original cylinder is

The radii of two cylinders are in the ratio of 2 : 3 and their heights are in the ratio of 5 : 3. The ratio of their volumes is

In a cylinder, radius is doubled and height is halved, curved surface area will be

The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. The ratios of the surface areas of the balloon in the two cases is

The total surface area of a cube is 96 cm². The volume of the cube is

A cylindrical tub of radius 12 cm contains water to a depth of 20 cm. A spherical ball is dropped into the tub and the level of the water is raised by 6.75 cm. Find the radius of the ball.

A cylinder is within the cube touching all the vertical faces. A cone is inside the cylinder . If their heights are the same with the same base, find the ratio of their volumes