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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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Important Questions on Mensuration & Area

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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:
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The height of a right circular cylinder is 6 m long The sum of the areas of its circular surfaces is two times of its curved surface. Thus, the radius of the cylinder in metres is:
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The radius of the base of a conical tent is 6 m long. If the area of the canvas required for making this tent is 42737 m2, the slant height of the tent is?

 Take π=227

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A cone of same base and height as that of a solid cylinder whose height and radius of the base are 10 cm and 6 cm respectively has been curved out from this cylinder. Thus the volume of the remaining solid is?
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The base of a right pyramid is square in shape. The diagonal of the base is 242 m long. If the volume of the pyramid is 1728 m3, its height is?
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The base of a pyramid is a regular hexagonal side 2a cm. If each slant height of this pyramid is 5a2 cm long. The volume of the pyramid is?
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The base of a right prism is an equilateral triangle whose area is 173 cm2. The volume of the prism is 10380 cm3. Thus. the area of its lateral surfaces is?
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The perimeter of the triangular base of a prisrm is 15 cm, and the radius of incircle inscribed in this triangle is 3 cm long. If the volume of the prism is 270 cm3, the height of the prism is?