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Mensuration

The document contains a series of mensuration problems aimed at Class 9 students, covering topics such as the surface area and volume of various geometric shapes including cylinders, cones, hemispheres, and spheres. It includes multiple-choice questions and calculations related to dimensions and ratios. The problems are designed to test students' understanding of mensuration concepts and their application in real-world scenarios.

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10 views2 pages

Mensuration

The document contains a series of mensuration problems aimed at Class 9 students, covering topics such as the surface area and volume of various geometric shapes including cylinders, cones, hemispheres, and spheres. It includes multiple-choice questions and calculations related to dimensions and ratios. The problems are designed to test students' understanding of mensuration concepts and their application in real-world scenarios.

Uploaded by

varsha24580
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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By Tanu Nigam MENSURATION

CLASS 9

1. If the radius of cylinder is halved and height is doubled, then what will be the curved surface
area?

(a) increase by 1 (b) the same (c) double (d) triple

2. What is the total surface area of a cone having radius and Slant height 2L?

3. If a right circular cone hs radius 4 cm and slant height 5 cm then what is its volume?

(a) 16 π cm3 (b) 14 π cm3 (c) 12 π cm3 (d) 18 π cm3

4. The radius of a hemisphere is r. What is its volume?

5. What is the total surface area of a hemisphere of radius r?

(a) 4πr2 (b) πr2 (c) 2πr2 (d) 3πr2

6. If the radius of a sphere is doubled, then what is the ratio of their surface area?

(a) 1 : 2 (b) 2 : 1(c) 1 : 4 d) 4 : 1

7. Two right circular cones of equal curved surface areas have slant heights in the ratio of 3 : 5. Find
the ratio of their radii.

(a) 4 : 1 (b) 3 : 5(c) 5 : 3(d) 4 : 5

8. In the cylindrical container, the base radius is 8 cm. If the height of the water level is 20 cm, find
the volume of the water in the container.

(a) 5.6721 l (b) 4.0218 l (c) 3.8925 l (d) 4.97 l

9. A well with 10 m inside diameter is dug 14m deep. Earth taken out of it is spread all around it to

make an embankment of height Find the width of the embankment.

(a) 5 m(b) 4 m (c) 4.3 m (d) 6 m

10. A brick measures 30 cm × 10 cm × How many bricks will be required for a wall 30 m

long. 2 m high and thick?

11. If the heights of two cylinders are in the ratio of 4 : 3 and their radii are in the ratio of 3 : 4 then
what is the ratio of their volumes?

12. If the radius of a sphere is doubled then what is the ratio of their volumes?
13. A particular lead pencil consists of a wooden cylinder with a solid cylinder of graphite filled in the
interior. The diameter of the particular pencil is 7 mm, and the diameter of the graphite is 1 mm. If
the pencil length is 14 cm, find out the volume of the wood and that of the graphite. (Assume π =
22/7)

14. A room’s given length, breadth, and height are 5 m, 4 m and 3 m, respectively. Find out the cost
of whitewashing the walls of the room and ceiling at the given rate of Rs 7.50 per m square.

15. The floor of a particular rectangular hall has a given perimeter of 250 m. If the cost of painting
the four given walls is Rs.10 per m² is Rs.15000, find out the height of the particular hall.

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