Mensuration

A rectangular sheet of metal 44 cm by 20 cm is rolled along its length to form a cylinder. Find the volume of the cylinder.

A cube of side 4 cm is painted on all sides and then cut into unit cubes (1 cm side). How many unit cubes have no paint on them?

What is the volume of a tetrahedron with edge length 'a'?

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

A cylindrical vessel of radius 4 cm contains water. A solid sphere of radius 3 cm is lowered into the water until it is completely immersed. Find the rise in water level.

Find the volume of the material of a hollow sphere whose outer and inner radii are 10 cm and 8 cm respectively.

If the volume of a sphere is numerically equal to its surface area, find its diameter.

A cone is cut by a plane parallel to the base at the midpoint of its height. Find the ratio of the volume of the upper cone to the original cone.

What is the formula for the volume of a cube with side length 's'?

Find the volume of a cylinder with radius 7 cm and height 10 cm.

A rectangular tank has dimensions 2m x 1.5m x 1m. What is its capacity in liters?

Calculate the volume of a sphere whose radius is 3 cm. (Take π = 3.14)

If the volume of a cube is 216 cm^3, what is the length of its side?

What is the volume of a cone with base radius 6 cm and vertical height 7 cm?

The ratio of the radii of two spheres is 2:3. What is the ratio of their volumes?

A square-based pyramid has a base side of 10 cm and a vertical height of 12 cm. Find its volume.

How many cubes of side 2 cm can be made from a solid cuboid of dimensions 10 cm x 8 cm x 6 cm?

A cylinder and a cone have the same radius and same height. What is the ratio of the volume of the cylinder to the volume of the cone?

What is the volume of a hemisphere with diameter 14 cm?

If the radius of a sphere is doubled, how many times will its volume increase?