Given below are the

a. Concepts questions

b. Calculation problems

c. Multiple choice questions

d.Long answer questions

e. Fill in the blank's

A solid metallic hemisphere of radius 8 cm is melted and recasted into a right circular cone of base radius 6 cm. Determine the height of the cone.

(a) 20 cm

(b) 28.44 cm

(c) 26.44 cm

d) None of the above

Solution

Find the volume of the largest right circular cone that can be cut out of a cube whose edge is 9cm.

Solution

A cone, a hemi-sphere and a cylinder stand on equal bases and have the same height. Find the ratio of their volumes as well

(a) 3:2:1

(b) 2:4:8

(c) 1:2:3

(d) 3:9:27

Solution

Find the ratio of their total surface areas

(a) (√2+1):3:4

(b) 2:4:8

(c) 1:2:3

(d) 3:9:27

Solution

A solid toy is in the form of a hemisphere surmounted by a right circular cone. Height of the one is 2cm and diameter of the base is 4cm. If a right circular cylinder circumscribes the toy, find how much more space it will cover.

Solution

A hemispherical tank full of water is emptied by a pipe at the rate of 3 litres per second. How much time will it take to make the tank half empty, if the tank is 3m in diameter?

Solution

A toy is in the shape of a right circular cylinder with a hemisphere at one end and a cone on the other. The radius and height of the cylindrical part are 5cm and 13cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Find the surface area of the toy if the total height of the toy is 30cm

Solution

Solution

The radii of the internal and the external surfaces of metallic spherical shells are 3cm and 5cm respectively. It is melted and recast into a solid right circular cylinder of height 10 cm. Find the diameter of the base of the cylinder

Solution

A cubical block of side 10 cm is surmounted by a hemisphere. What is the largest diameter that the hemisphere can have? Find the cost of painting the total surface area of the solid so formed, at the rate of < 5 per 100 sq. cm. [ Use π=22/7]

**Notes**-
**Assignments** -
**NCERT Solutions**- NCERT Solution Surface Area and Volume Class10 Exercise 13.1
- NCERT Solution Surface Area and Volume Class10 Exercise 13.2
- NCERT Solution Surface Area and Volume Class10 Exercise 13.3
- Oswaal CBSE Question Bank Class 10 Hindi B, English Communication Science, Social Science & Maths (Set of 5 Books)
- Mathematics for Class 10 by R D Sharma
- Pearson IIT Foundation Maths Class 10
- Secondary School Mathematics for Class 10
- Xam Idea Complete Course Mathematics Class 10

**Reference Books for class 10**

Given below are the links of some of the reference books for class 10 math.

You can use above books for extra knowledge and practicing different questions.

### Practice Question

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