Mensuration : 03.04.2024

The volume of the sphere is 38,808 cm³. What is the surface area of the sphere?

The length and breadth of a cuboid is increased by 20% and 25%, respectively, while its height is reduced by 30%. What must be the total percentage increase/decrease in the volume of the cuboid?

The radii of two cylinders are in the ratio 1 : 4 and their heights are in the ratio 4 : 3

Their volumes will be in the ratio ______.

Each edge of the following square in 20 cm long, and a circle is inscribed in the square as shown. What is the area of the shaded region? [Use π = 3.14]

The diameter of the base of a right-circular cylinder is 12 cm and the height of the cylinder is 2.45 times the radius of its base. Find the volume of the cylinder [Use π = ]

The area of the floor of a cubical room is 192 m². The length of the longest rod that can be kept in that room is:

A wire encloses an area of 18634 cm², when it is bent in the form of a circle. The same wire is now bent to form a rectangle whose sides are in the ratio 5 : 6. The length (in cm) of the shorter side of the rectangle is (Take π = ) :

In a right circular cylinder, the ratio of the curved surface to the total surface area is 3:7. Find the ratio of the height of the cylinder to the radius of its base.

If the radii of two cylinders are in the ratio of 2 : 3 and their heights are in the ratio of 5 : 3, then the ratio of their volumes is:

A pillar 11 m in radius is 21 m high. How much material was used to construct it?(Use π=22/7)