Mensuration

The total surface area of a hemisphere is 462 sq. cm. Find its radius.

What is the ratio of the surface areas of two spheres if their radii are in the ratio 2:3?

The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. Find the ratio of their curved surface areas.

A rectangular reservoir is 6m long and 3m wide. At what speed per hour must water flow into it through a square pipe of 20cm side so that the water level rises by 2m in 5 hours?

The curved surface area of a right circular cone is 12320 sq. cm. If the radius of its base is 56 cm, find its slant height.

Find the total surface area of a solid hemisphere of diameter 2r.

A cube of lead with edge 6 cm is melted and formed into 27 equal cubes. Find the surface area of one small cube.

A right circular cylinder and a cone have equal bases and equal heights. Find the ratio of their curved surface areas if their height is √3 times the radius.

The surface area of a sphere is reduced by 75%. By what percentage did the radius decrease?

A cylinder of height 10 cm and radius 6 cm is melted to form a sphere. What is the surface area of the sphere?

The total surface area of a right circular cone is 90π sq. cm. If its radius is 5 cm, find its slant height.

If the length, breadth, and height of a cuboid are in the ratio 3:2:1 and its total surface area is 792 sq. cm, find its dimensions.

What is the cost of painting the curved surface of a cylinder with radius 7 m and height 10 m at the rate of Rs. 5 per sq. m?

A sphere is inscribed in a cube of side 6 cm. What is the surface area of the sphere?

The base of a prism is an equilateral triangle of side 4 cm. If its height is 10 cm, find its total surface area.

If the curved surface area of a sphere is 616 sq. cm, find its volume.

A tent is in the form of a cylinder surmounted by a cone. If the height and diameter of the cylindrical part are 2.1 m and 4 m, and slant height of the cone is 2.8 m, find the area of the canvas used.

The ratio of the radii of two cylinders is 1:√3 and their heights are in the ratio 2:3. Find the ratio of their volumes.

Find the total surface area of a cone whose radius is r/2 and slant height is 2l.

The length of the longest pole that can be put in a room of dimensions 10m x 10m x 5m is: