Mensuration

A conical tent is 9 m high and its base radius is 12 m. What is the cost of canvas required at Rs. 100 per sq. m?

The total surface area of a solid hemisphere is 1848 cm². Find its radius.

How much metal sheet is required to make a closed cylindrical tank of height 1.4 m and base diameter 140 cm?

A square-based pyramid has a base perimeter of 40 cm and a vertical height of 12 cm. Find its slant height.

The CSA of a cylinder is 264 m² and its volume is 924 m³. Find the radius.

Find the area of 4 walls of a room if the perimeter of the floor is 30 m and height is 3 m.

The total surface area of a cube is 150 sq. cm. Find its volume.

Find the slant surface area of a cone with radius 7 cm and height 24 cm.

A sphere and a cube have the same surface area. What is the ratio of the radius of the sphere to the side of the cube?

If the radius of a cone is tripled and slant height is halved, the CSA becomes:

Find the cost of polishing a solid hemisphere of radius 7 cm at the rate of Rs. 2 per sq. cm.

What is the area of a sheet needed to make an open cylinder (no top) with radius 'r' and height 'h'?

If the total surface area of a sphere is equal to the curved surface area of a cylinder with same radius, what is the height of the cylinder in terms of its radius?

A triangular prism has a base perimeter of 24 cm and lateral surface area of 240 cm². Find its height.

The lateral surface area of a square pyramid is given by the formula (where 'a' is base side and 'l' is slant height):

Find the lateral surface area of a cuboid of length 5 cm, breadth 3 cm, and height 2 cm.

If the diameter of a sphere is 14 cm, what is its surface area?

The total surface area of a prism with an equilateral triangular base of side 'a' and height 'h' is:

Find the curved surface area of a hemisphere with diameter 21 cm.

A cylinder has a radius of 10 cm and height of 20 cm. If the height is doubled and radius is halved, the new CSA will be: