Skip to content

Symmetric Angles

Practice & Quizzes

Class 9

- Science
- Mathematics

Class 10

- Science
- Mathematics

Class 11

- Physics
- Mathematics

Class 12

- Physics
- Mathematics

Search

You need to log in to see your display name. You need to log in to see your email.

My progress Settings Orders Log out

Class 10 Quiz Level 3 (Difficult) – Surface Areas and Volumes

Total questions: 10

1.

A solid metal sphere of radius 6 cm is melted and recast into smaller spheres, each of radius 2 cm. How many smaller spheres can be made?

Topic: Volume of a Sphere

Deselect Answer

6

12

18

27

None

2.

A spherical balloon is inflated such that its radius increases from 7 cm to 14 cm. By what factor does the surface area increase?

Topic: Surface Area of a Sphere

Deselect Answer

2

4

6

8

None

3.

A spherical tank has a capacity of 5000 liters. Find the radius of the tank in meters.

Topic: Volume of a Sphere

Deselect Answer

0.95 m

1.07 m

1.33 m

1.50 m

None

4.

A cylindrical tank with radius 5 m is filled with water to a height of 9 m. If the water is emptied into a cuboidal tank of dimensions 10 m x 6m x 4.5 m, will the water overflow?

Topic: Volume of a Cylinder

Deselect Answer

Yes

No

None

5.

The volume of a sphere is 38808 cm³. Find its surface area.

Topic: Volume of a Sphere

Deselect Answer

1256 cm²

2827 cm²

4524 cm²

6160 cm²

None

6.

A solid sphere of radius 12 cm is cut into 8 identical pieces. What is the surface area of each piece?

Topic: Surface Area of a Sphere

Deselect Answer

144π cm²

288π cm²

432π cm²

576π cm²

None

7.

Two hemispheres of radii 6 cm and 8 cm are combined to form a solid. Find the volume of the resulting solid.

Topic: Volume of a Hemisphere

Deselect Answer

1080 cm³

1264 cm³

1640 cm³

1792 cm³

None

8.

A hollow hemispherical shell with an outer radius of 10 cm and inner radius of 9 cm is to be painted. What is the area to be painted?

Topic: Surface Area of a Hemisphere

Deselect Answer

361π cm²

100π cm²

209π cm²

190π cm²

None

9.

A spherical ball of diameter 28 cm is melted and recast into smaller balls of diameter 7 cm. How many smaller balls can be made?

Topic: Volume of a Sphere

Deselect Answer

8

16

32

64

None

10.

A sphere of radius 4 cm is melted and recast into 8 smaller identical spheres. Find the radius of each smaller sphere.

Topic: Volume of a Sphere

Deselect Answer

2 cm

2.5 cm

3 cm

3.5 cm

None

1 out of 10

Time's up

About
About Symmetric Angles
Contact us
Terms & Conditions
Privacy Policy
Refund & Cancellation Policy

Select Subject
Class 9 Science
Class 9 Mathematics
Class 10 Science
Class 10 Mathematics

Subscribe Newsletter

Email

© 2025 Symmetric Angles. All Rights Reserved

Scroll to Top

Search

Practice and Quizzes

Class 9

Menu

Science
Mathematics

Class 10

Menu

Science
Mathematics

Class 11

Menu

Physics
Mathematics

Class 12

Menu

Physics
Mathematics

Hello!

Menu

My Progress
My membership
Orders
Addresses
Account details

Welcome back

Please enable JavaScript in your browser to complete this form.

Email *

Password *

Remember me

Remember me

Forgot Password?

Don't have an account? Sign up

OR

Sign in with Google

Sign in with Facebook