Question Bank

The ratio of total surface area to curved surface area of a cone with radius r and slant height l is:

Find the area of the smallest square that can contain a circle of area 154 sq. cm.

A cylindrical pipe has inner diameter 4 cm and outer diameter 4.4 cm. Length is 10 cm. Find the total surface area.

How many times does the surface area of a sphere increase if its radius is tripled?

What is the total surface area of a frustum of a cone with radii 4 cm and 2 cm and height 4 cm?

A solid cube is cut into two equal halves by a plane parallel to one of its faces. Find the ratio of the total surface area of one half to the original cube.

The base of a right pyramid is a square of side 10 cm. If its volume is 400 cubic cm, find its total surface area.

Find the surface area of a sphere that just fits inside a cylinder of radius 'r' and height '2r'.

If the side of a cube increases by 10%, find the percentage increase in its surface area.

Find the total surface area of a hemisphere if its volume is 18π cubic cm.

A spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii of two of the balls are 1.5 cm and 2 cm. Find the radius of the third ball.

The sum of the length, breadth, and height of a cuboid is 19 cm and the length of its diagonal is 11 cm. Find its total surface area.

If the radii of two spheres are in the ratio 1:4, then their surface areas are in the ratio:

What is the volume of a cube with a side length of 5 cm?

Calculate the volume of a cuboid measuring 10 cm by 8 cm by 5 cm.

Find the volume of a cylinder with base radius 7 cm and height 10 cm. (Use π = 22/7)

What is the volume of a sphere whose radius is 3 cm? (Leave answer in terms of π)

A hemisphere has a radius of 6 cm. Find its volume. (Leave answer in terms of π)

What is the volume of a cone with base radius 3 cm and vertical height 7 cm? (Use π = 22/7)

If the area of the base of a prism is 25 cm² and its height is 12 cm, what is its volume?