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A solid cube of side 7cm is melted to ma...

A solid cube of side 7cm is melted to make a cone of height 5cm, find the radius of the base of the cone.

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To solve the problem of finding the radius of the base of a cone formed by melting a solid cube, we can follow these steps: ### Step-by-Step Solution: 1. **Calculate the Volume of the Cube:** The volume \( V \) of a cube can be calculated using the formula: \[ V = a^3 ...
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RD SHARMA-SURFACE AREA AND VOLUME OF A RIGHT CIRCULAR CYLINDER CONE-All Questions
  1. A cone and a cylinder are having the same base. Find the ratio of t...

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  2. A cone of a radius 5cm is filled with water. If the water poured in...

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  3. A solid cube of side 7cm is melted to make a cone of height 5cm, fi...

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  4. From a right circular cylinder with height 10cm and radius of base ...

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  5. The radius and height of a cone are in the ratio 3:4. If its volume...

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  6. If h , c ,V are respectively the height, the curved surface and the...

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  7. A cone of height 24cm has a curved surface area 550\ c m^2dot Find ...

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  8. A conical tent is to accommodate 11 persons. Each persons must have...

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  9. A semi-circular sheet of metal of diameter 28cm is bent into an ope...

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  10. A conical tent is 9m high and the radius of its base is 12m. (i) What...

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  11. Find the volume of the larges right circular cone that can be cut o...

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  12. A cylinder is within the cube touching all the vertical faces. A co...

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  13. Find the volume of a right circular cone with: (i) radius 6cm, height ...

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  14. Find the capacity in litres of a conical vessel with (i) radius 7 cm, ...

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  15. Two cones have their heights in the ratio 1:3 and the radii of thei...

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  16. The radius and the height of a right circular cone are in the ratio...

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  17. The ratio of volumes of two cones is 4:5 and the ratio of the radii...

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  18. A cylinder and a cone have equal radii of their bases and equal hei...

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  19. If the radius of the base of a cone is halved, keeping the height s...

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  20. A heap of wheat is in the form of a cone of diameter 9m and height ...

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