Surface Areas and Volumes

Subject matter experts of JagranJosh have developed a chapter wise practice sets as per the relevancy of the chapter in the board exam. This practice set contains 15 questions with detailed explanations on “Chapter: Surface Areas and Volumes” of Mathematics.

  • Q1.Small spheres, each of radius 2cm, are made by melting a solid iron ball of radius 6cm, then the total number of small spheres is:

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  • Q2.A solid sphere of radius r cm is melted and recast into the shape of solid cone of height r. The radius of the base of the cone is:

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  • Q3.Three solid spheres of diameters 6 cm. 8 cm and 10 cm are melted to form a single solid sphere. The diameter of the new sphere is:

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  • Q4.The radii of the ends of a frustum of a cone 40 cm high are 38 cm and 8 cm. The slant height of the frustum of cone is:

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  • Q5.The length of the diagonal of a cube inscribed in a sphere of radius 10 cm is:

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  • Q6.If a cone is cut into two parts by a horizontal plane passing through the mid-point of the axis, then the ratio of the volumes of the small cone to that of the original cone is

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  • Q7.The length of the longest rod that can be placed in a cuboidal room of dimensions 20 cm, 12 cm and 9 cm:

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