Question Bank
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The volume of a hemisphere is 2425.5 cm³. Find its radius.
Find the volume of a prism whose base is a triangle with base 6 cm and height 4 cm, and the length of the prism is 15 cm.
If the volume of a cube is 1000 cm³, what is its total surface area?
Calculate the volume of a cone with radius 3.5 cm and height 12 cm.
A metal sphere of radius 6 cm is melted into 27 small spheres. Find the radius of each small sphere.
The volume of a cylindrical container is 448π cm³ and its height is 7 cm. Find its curved surface area.
If the height of a cone is tripled and its radius is doubled, the volume becomes how many times the original?
Find the volume of a right circular cone with slant height 25 cm and base radius 7 cm.
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)