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A semi-circular sheet of metal whose diameter is 28 cm has been bent in the shape of conical bowl. The depth of the bowl is

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Important Questions on Mensuration & Area

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UPSC CDS
IMPORTANT

The diameier of a cylinder is 7 cm and its height is 16 cm long. The curved surface are of this cylinder is

 Take π=227

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The radii of the circular ends of a bucket which is the part of a cone are 28 cm and 7 cm. The height of the bucket is 45 cm. The volume of burket in cm3 is

 Take π=227

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A cone, a hemisphere and a cylinder have equal bases and their heights are also equal. The ratio of their volume is:
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The tent of a circles is cylindrical upto the height of 3 m and there after its upper portion is conical. The diameter of the base of the tent is 105 m and the slant height of conical part is 63 m. The area of canvas required for making this tent is

 Take π=227

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UPSC CDS
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The ratio of the height and the diameter of a right circular cone is 3: 2 and its volume is 1078 cm3. Its height is?

 Take π=227

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UPSC CDS
IMPORTANT
The radii and heights of a right circular cylinder and a cone are equal separately. If their curved surface areas are in the ratio of  8: 5, the ratio of the radii of their bases and heights is?
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A right sector of a circle whose radius is r cm, is rolled in a conical form in such a way that the two radii combine with each other. Thus, the curved surface area of the cone so formed is :
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UPSC CDS
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The curved surface area of a sphere and a right circular cylinder are equal. If the radii of these cylinders and spheres are also equal, the ratio of their volumes is: