Question 1
1 Mark
In a cylinder, if radius is halved and height is doubled, the volume will be
Options
Option A
same
Option B
doubled
Option C is correct
halved
Option D
four times
Questions & Answers: "Surface Area and Volumes"
Complete guide to "Surface Area and Volumes" for Math students. Below you will find important questions and model answers to help you prepare.
11 Questions
Explore Related Topics
We are building a dedicated quiz for this topic, but you can test your skills on a similar concept: Number Systems - Practice Set 1 (NCERT Class 9).
Question 2
1 Mark
The radius of a sphere is 2r, then its volume will be
Options
Option A 
Option B 
Option C 
Option D is correct
Question 3
1 Mark
The total surface area of a cube is 96 cm². The volume of the cube is:
Options
Option A
8 cm³
Option B
512 cm³
Option C is correct
64 cm³
Option D
27 cm³
Question 4
1 Mark
A cone is 8.4 cm high, and the radius of its base is 2.1 cm. It is melted and recast into a sphere. The radius of the sphere is:
Options
Option A
4.2 cm
Option B is correct
2.1 cm
Option C
2.4 cm
Option D
1.6 cm
Question 5
1 Mark
In a cylinder, radius is doubled, and height is halved, curved surface area will be
Options
Option A
halved
Option B
doubled
Option C is correct
same
Option D
four times
Question 6
1 Mark
The total surface area of a cone whose radius is r/2 and slant height 2l is
Options
Option A
2πr (l + r)
Option B is correct
πr (l + r/4)
Option C
πr (l + r)
Option D
2πrl
Question 7
1 Mark
The radii of two cylinders are in the ratio of 2:3 and their heights are in the ratio of 5:3. The ratio of their volumes is:
Options
Option A
10 : 17
Option B is correct
20 : 27
Option C
17 : 27
Option D
20 : 37
Question 8
1 Mark
The lateral surface area of a cube is 256 m². The volume of the cube is
Options
Option A is correct
512 m³
Option B
64 m³
Option C
216 m³
Option D
256 m³
Question 9
1 Mark
The number of planks of dimensions (4 m × 50 cm × 20 cm) that can be stored in a pit which is 16 m long, 12m wide and 4 m deep is
Options
Option A
1900
Option B is correct
1920
Option C
1800
Option D
1840
Question 10
1 Mark
The length of the longest pole that can be put in a room of dimensions (10 m × 10 m × 5m) is
Options
Option A is correct
15 m
Option B
16 m
Option C
10 m
Option D
12 m
Question 11
1 Mark
The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. The ratios of the surface areas of the balloon in the two cases is
Options
Option A is correct
1 : 4
Option B
1 : 3
Option C
2 : 3
Option D
2 : 1