Sphere
Sphere: Overview
With the help of this topic, we will discuss the sphere in detail. It teaches us about the surface area and volume of the sphere. It also briefs on the hemisphere and its surface area with the help of an example.
Important Questions on Sphere
A cylinder and a sphere of equal radii and are of equal heights, then find the ratio of their volumes.

"The total surface area (TSA) of a sphere is sq.units and the TSA of a hemisphere with same radius is sq.units." Do you agree with this statement? Justify your answer with a reason.

If the surface area of a sphere is then its volume is

The volume of sphere is . Its curved surface area is [Use ]

The hemisphere has only one surface which is flat.

The hemisphere has one curved surface and one flat surface.

The surface of a hemisphere is curved.


How many surface does a hemisphere have?

In the diameter a hemispherical igloo is given. Its outer radius is . Its total surface area is _____

Find the value of if the total surface area of a hemisphere of radius is .

If the surface area of a sphere of diameter is , find the value of .

If the surface area of sphere of radius is , find the value of .

If the surface area of sphere of radius is .
Then find the value of .

If the surface area of sphere of radius is , find .

Which of the following is the formula for the volume of a sphere of radius ‘r’?

Rohan dropped 10 identical steel balls into a cylindrical container of radius 6 cm and the level of water in the container rose from 14 cm to 24 cm.
What is the volume of one steel ball?

Rohan dropped 10 steel balls into a cylindrical container of radius ‘r’ cm and the level of water in the container rose from $ {h}_{1}$ cm to $ {h}_{2}$ cm.
Which of these formulae gives the volume of 10 steel balls?

The volume of a spherical balloon is increased by 33.1%.
Which of these is the percentage increase in its radius?

The inner radius of a hollow sphere increased by 20%. The amount of water that it can hold will increase by _____ %.
