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Mensuration

The document is a math assignment for Grade 10 focused on mensuration, containing 10 problems related to the volumes and surface areas of various geometric shapes. Each problem requires calculations involving cones, cylinders, and spheres, with specific dimensions and ratios provided. The assignment is designed to assess students' understanding of geometric properties and their applications.

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asharzahir237
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7 views1 page

Mensuration

The document is a math assignment for Grade 10 focused on mensuration, containing 10 problems related to the volumes and surface areas of various geometric shapes. Each problem requires calculations involving cones, cylinders, and spheres, with specific dimensions and ratios provided. The assignment is designed to assess students' understanding of geometric properties and their applications.

Uploaded by

asharzahir237
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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MissCalculia Grade : 10

Email : falakcontent@gmail.com Chapter : Mensuration


Contact : 8451984654 Marks : 30
Time : 60 minutes

1. The radius and the height of a right circular cone are in the ratio of 5:12 and its volume
is 2512 cubic cm. Find the curved surface area and the total surface area. [3]

2. A hollow sphere of internal and external radii 6 cm and 8 cm respectively is melted and
recast into small cones of base radius 2 cm and height 8 cm.
Find the number of cones. [3]

3. A surface area of a solid metallic sphere is 616 cm2. It is melted and recast into smaller
spheres of diameter 3.5 cm. How many such spheres can be obtained? [3]

4. The radius and height of a circular cylinder are in a ratio 3:7 and its volume is 198 cm3.
Find radius and height. [3]

5. Two cylindrical cans have their diameters in the ratio 3:1. If their height is in the ratio
2:1, then find the ratio of their volumes. [3]

6. If the radius and height of a cylinder are 7 cm and 10 mm respectively, then find
a) Curved surface area
b) Total surface area
c) Volume [3]

7. A solid is in the form of cylinder with hemispherical ends. The total height of solid is
19 cm and diameter of cylinder is 14 cm. Find volume and total surface area. [3]

8. A solid cylinder of radius 6 cm and height 10 cm is melted and recast into identical
cones, each of height 3 cm and diameter 4 cm. find the number of cones formed. [3]

9. Two solid right circular cones have same heights. the radii of their bases are 3 cm and
12 cm. they are melted and recast into a cylinder of same height. Find the radius of the
cylinder. [3]

10. A solid cylinder of brass 10 m high and 2 m diameter is melted and recast into a cone
of diameter 4 m. find the height of the cone. [3]

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