Test: Conversion of Solids - Class 10 MCQ

The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 2 cm. The length of the wire is​

How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm

How many coins 1.75 cm in diameter & 2 mm thick must be melted to form a cuboid 11 cm x 10 cm x 7 cm?​

The largest sphere is curved out of a cube of a side 7 cm. Find the volume of the sphere.​

How many coins 1.75 cm in diameter & 2 mm thick must be melted to form a cuboid 11 cm x 10 cm x 7 cm?

A hemispherical bowl of internal diameter 30 cm contains a liquid. The liquid is to be filled in cylindrical bottles of diameter 5 cm and height 6 cm. The number of bottles required to empty the bowl are​

A circular cylinder shaped container having diameter 24 cm and height 10 cm is full of ice-cream. The ice-cream is to be filled into cones of height 8 cm and diameter 4 cm, having a hemispherical shape on the top. The number of such cones which can be filled with ice-cream is​

A spherical shell of lead, whose external diameter is 18 cm, is melted and recast into a right circular cylinder, whose height is 8 cm and diameter 12 cm. The internal diameter of the shell is:​

The diameter of a copper sphere is 6 cm. The sphere is melted and recast into a wire. If the length of the wire is 36 cm, its radius is​

The number of lead balls each of radius1 cm, that can be formed from a sphere of radius 8 cm will be​

The largest possible sphere is carved out from a cube of 7 cm side. The volume of the sphere will be

The material of a cone is converted into the shape of a cylinder of equal radius. If the height of the cylinder is 5 cm, then the height of the cone is​

If a solid right circular cone of height 24 cm and base radius 6 cm is melted and recast in the shape of a sphere, then the radius of the sphere is​

How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm.

A sphere of diameter 12 cm is dropped into a right circular cylindrical vessel partly filled with water. If the sphere is completely submerged in water, the water level in the cylindrical vessel rises by   cm, the radius of the cylindrical vessel will be​

A solid consists of a circular cylinder with an exact fitting circular cone placed at the top. The height of the cone is h. If the total volume of the solid is 3 times the volume of the cone, then the height of the circular cylinder is

2 cubes of volume 64 cm³ are joined end to end. Find the surface area of resulting cuboid