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Surface Areas And Volumes Worksheets

1.

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.

2.

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?

3.

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.

4.

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.

5.

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.

6.

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.

7.

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.

8.

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.

9.

A hemispherical depression is cut from one face of a cubical block, such that diameter l of hemisphere is equal to the edge of cube. Find the suface area of solid.

10.

A vessel is in the form of a hemisphere bowl surmounted by a hollow cylinder of same diameter. The diameter of the hemisphere bowl is 14 cm and the total height of the vessel is 13cm. Find the total Surface area of the vessel.

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