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.
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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).
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11 QuestionsIn a cylinder, if radius is halved and height is doubled, the volume will be
Options
same
doubled
halved
four times
The total surface area of a cube is 96 cm². The volume of the cube is:
Options
8 cm³
512 cm³
64 cm³
27 cm³
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:
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4.2 cm
2.1 cm
2.4 cm
1.6 cm
In a cylinder, radius is doubled, and height is halved, curved surface area will be
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halved
doubled
same
four times
The total surface area of a cone whose radius is r/2 and slant height 2l is
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2πr (l + r)
πr (l + r/4)
πr (l + r)
2πrl
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:
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10 : 17
20 : 27
17 : 27
20 : 37
The lateral surface area of a cube is 256 m². The volume of the cube is
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512 m³
64 m³
216 m³
256 m³
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
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1900
1920
1800
1840
The length of the longest pole that can be put in a room of dimensions (10 m × 10 m × 5m) is
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15 m
16 m
10 m
12 m