Free CBSE Class 10 Mathematics UNIT VI: Mensuration Surface Areas And Volumes Worksheets

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Sample CBSE Class 10 Mathematics UNIT VI: Mensuration Surface Areas And Volumes Worksheet Questions

1.

A toy is in the form of a cone of redius 3.5cm mounted on a hemisphere of same redius. the total hight of toy is 15.5 cm. find the total surface are of the toy?

1.

214.5cm2

2.

154cm2

2.

2cubes each of volumes 64 cm3 joined end to end. find the surface area of resulting cuboid?

1.

512cm2

2.

160cm2

3.

192cm2

4.

48cm2

3.

Find the number of solid sphere of diameter 6 cm which can be made by melting a solid metallic cylinder of height 45 cm and diameter  cm.

4.

A metallic sphere of total volume is melted and recast into the shape of right circular cylinder of radius 0.5cm. What is the height of cylinder?

5.

A bucket open at the top is in the form of a frustum of a cone with a capcity of . The radii of the top and bottom circular ends are 20 cm and 12 cm. Find the height of the bucket and area of metal sheetl used in making the bucket.

6.

A solid toy is in the form of a hemisphere surmounted by a right circular cone.The height of the cone is 2 cm and the diameter of the base is 4 cm. Determine the volume of the toy. Find the difference of the volume of the cylinder and toy.

7.

A cylindrical bucket 32 cm high and with radius of base 18 cm is filled with sand. This bucket is empited on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm, Find the radius and slant height of the heap.

8.

A medicine capsule is in the shape of a cylinder with two hemisphere stuck to each of its ends, the lengths of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find the surface area.

9.

A toy is in the form of a cylinder of diameter and height 3.5 m suromountred by a cone whose vertical angle is . Find total surface area of the top.

10.

A rectangular sheet of paper of dimenssion 44 cm *18 cm is rolled along its length and a cylinder is formed. Find the volume of the cylinder so formed.

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