UrbanPro

Your Worksheet is Ready

CBSE Class 9 Mathematics Worksheet

Surface Area and Volumes - Sphere

1.
The diameter of a sphere is decreased by 25%. By what per cent does its curved surface area decrease?
2.
Fill in the blanks: The diameter of moon is approximately one fourth of the diameter of earth. The ratio of their surface area is _______.
A) 1:4 B) 1:16 C) 1:8 D) 1:6
3.
The volumes of the two spheres are in the ratio 64 : 27. Find the ratio of their radii.
A) 16:9 B) 4:3 C) 2:3 D) 4:9
4.
Find the radius of a hemisphere whose curved surface area is 77 sq. cm.
A) 7 cm B) 3.5 cm C) 14 cm D) None of these
5.
Fill in the blanks: Radius of a cricket ball is four times than that of a table tennis ball. The ratio of their volume is _______.
A) 4:1 B) 1:4 C) 64:1 D) 16:1
6.
The radius of a metallic spherical ball is 3cm. It is melted and recast into spherical balls each of radius 0.75cm. Find the number of small balls so formed.
A) 16 B) 24 C) 64 D) 32
7.
If the radius of a sphere is doubled, what is the ratio of the surface area of the first sphere to that of second sphere?
A) 1:2 B) 1:4 C) 1:8 D) 1:3
8.
State True/False: The volume of a sphere is equal to two-third of the volume of a cylinder whose height and diameter are equal to the diameter of the sphere.
A) true B) false
9.
Fill in the blanks: If the volume of the sphere is numerically equal to its surface area, then its radius is _______.
A) 1 unit B) 2 unit C) 3 unit D) 6 unit
10.
Fill in the blanks: The surface area of solid hemisphere is with radius r is ________.
A) 4? r X r B) 3 ?r X r C) 2? r X r D) 6? r X r
11.

A shot-putt is a metallic sphere of radius 4.9 cm. If the density of the metal is 7.8 g per cm3 , find the mass of the shot-putt?

12.
Fill in the blanks: If a plane cuts a sphere into two equal position then each portion is _________.
A) Hemisphere B) Segment C) Circle D) None of these
13.
State True/False: If the radius of a sphere is halved , then its volume reduces to one eight of its previous value.
A) true B) false
14.
If the radius of a sphere is doubled, what is the ratio of the volume of the first sphere to that of second sphere?
A) 1:2 B) 1:4 C) 1:8 D) 1:3
15.
Find the diameter of a sphere whose surface area is 154 sq. cm.
A) 14 cm B) 3.5 cm C) 7 cm D) 28 cm
16.

The internal and external diameters of a hollow hemispherical vessel are 20 cm and 28 cm respectively. Find the cost of painting the vessel all over at 15 paisa per cm2?

A) Rs 324.24 B) Rs 524.24 C) Rs 424.24 D) Rs 304.24
17.
Choose the correct option: If surface areas of two spheres are in the ratio of 9: 16 then the ratio of their volumes is ______.
A) 16/27 B) 4/27 C) 8/27 D) 27/64
18.
A solid cylinder is melted and casted into a cone of same radius. Find the ratio of their heights?
A) 3:2 B) 1:3 C) 1:2 D) 1:6
19.

A hemispherical bowl has a radius of 3.5 cm. What would be the volume of water it would contain?

A) 69.8 cu cm B) 79.8cu cm C) 99.8 cu cm D) 89.8 cu cm
20.
Find the surface area of a sphere of radius 7 cm.
A) 220 sq. cm B) 820 sq. cm C) 616 sq. cm D) 200 sq. cm

CBSE Class 9 Mathematics Worksheet

Surface Area and Volumes - Sphere

Answers

1.
0.4375
2.
Option B
3.
Option B
4.
Option B
5.
Option C
6.
Option C
7.
Option B
8.
Option A
9.
Option C
10.
Option B

11.

3.85 kg

12.
Option A
13.
Option A
14.
Option C
15.
Option C
16.
Option A
17.
Option D
18.
Option B
19.
Option D
20.
Option C

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All