NCERT Class 10 Chapter 10 Surface Areas and Volumes Official CBSE Board Sample Problems Very Short Answer
Glide to success with Doorsteptutor material for CBSE : fully solved questions with step-by-step explanation- practice your way to success.
Question
A right circular cone of radius 3 cm, has a curved surface area of. Find the volume of the cone, (use )
Solution
Radius of cone (r) = 3 cm
Curved surface area
, , where slant height of cone
We know that,
Volume of cone
Question
In Figure, a decorative block, made up of two solids a cube and a hemisphere. The base of the block is a cube of side 6 cm and the hemisphere fixed on the top has a diameter of 3.5 cm. Find the total surface area of the block.(use )

A Decorative Block
Solution
Side of the cube = 6 cm
Total surface area of cube
Area covered on the face of cube by circular part of hemisphere
Curved surface area of hemisphere
So, Total surface area of the block Surface area of cube Area of circular face of hemisphere
Curved surface area of hemisphere
Question
1. 2 cubes each of volume 64 cm3 are joined end to end. Find the surface area of
The resulting cuboid.
Ans. Abbreviation: CSA = C
Solution
Abbreviation: CSA = Curved Surface Area TSA = Total Surface Area
V = Volume
Volume of cube
According to question, (Side) = 64
=4
For the resulting cuboid, length, breadth = 4 cm and height = 4 cm
Surface area of resulting cuboid =
Question
If we reduce the height of a cylinder by ‘4 and double the radius, what will be the impact on the volume?
Solution
Volume of cylinder
Volume of New cylinder
So volume remains same.