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Find the maximum volume of a cone that c...

Find the maximum volume of a cone that can be carved out of a solid hemisphere of radius r.

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RD SHARMA ENGLISH-SURFACE AREAS AND VOLUMES-All Questions
  1. A solid iron rectangular block of dimensions 4.4m, 2.6m and 1m is cast...

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  2. A led pencil consists of a cylindner of wood with a solid cylinder of ...

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  3. Find the maximum volume of a cone that can be carved out of a solid ...

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  4. Water is flowing at the rate of 3km/hr through a circular pipe of 20cm...

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  5. Water flows at the rate of 10 meter per minute through a cylindrical ...

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  6. 21 glass spheres, each of radius 2cm are packed in a cuboidal box of ...

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  7. The slant height of a frustum of a cone is 4 cm and the perimeters ...

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  8. Prove that the length of the tangents drawn from an external point to ...

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  9. A well of inner diameter 14 m is dug 12 m deep. The earth taken out of...

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  10. If the n^(t h) term of an A.P., is (2n+1), then the sum of its first...

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  11. A tangent PQ at a point P of a circle of radius 5 cm meets a line thr...

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  12. From a point on the ground, the angles of elevation of the bottom an...

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  13. The roots of the quadratic equation 2x^2-x-6=0 (a)-2,3/2 (b) 2,-3...

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  14. Find the area of the quadrilateral A B C D , in which A B=7c m ,B C=6c...

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  15. The circumference of a circle is 22cm. The area of its quadrant (inc m...

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  16. A hemisphereical bowl of internal diameter 36cm contains a liquid. Thi...

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  17. How many sphereical lead shots each 4.2cm in diameter can be obtained ...

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  18. 2 cubes each of volume 64" "c m^3 are joined end to end. Find the ...

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  19. The diameter of a metallic sphere is 6cm. The sphere is melted and ...

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  20. Three cubes whose edges measure 3cm, 4cm and 5cm respectively to form ...

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