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A solid cylinder of diameter 12cm and he...

A solid cylinder of diameter 12cm and height 15cm is melted and recast into toys with the shape of a right circular cone mounted on a hemisphere of radius 3cm. If the height of the toy is 12cm, find the number of toys so formed.

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RD SHARMA ENGLISH-SURFACE AREAS AND VOLUMES-All Questions
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  2. If a cone of radius 10cm is divided into two parts by drawing a plane ...

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  3. A solid cylinder of diameter 12cm and height 15cm is melted and recast...

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  4. A kite is flying at a height of 30m from the ground. The length of ...

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  5. The distance of the point (-3,4) from the x-axis is : (a) 3 (b) -3 (...

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  6. Find the value of p for which the roots of the equation p x(x-2)+6=0, ...

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  7. How many two–digit numbers are divisible by 3?

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  8. In figure,a right triangle ABC,circumscribes a circle of radius r.If A...

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  9. From each corner of a square of side 4 cm a quadrant of a circle of...

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  10. Find the area of the shaded region in Fig. 12.21, if ABCD is a squa...

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  11. A hemispherical bowl of internal radius 9cm is full of water. Its c...

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  12. The angles of the depression of the top and bottom of the tower is see...

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  13. Find the coordinates of a point P, which lies on the line segment join...

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  14. . If the radii of the circular ends of a conical bucket, which is 16 c...

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  15. A cylindrical hole of diameter 30cm is bored through a cuboidal wooden...

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  16. The perimeters of the ends of a frustum of a right circular cone are...

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  17. The radii of the circular ends of a frustum of height 6cm are 14cm and...

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  18. A toy is in the form of a hemisphere surmounted by a right circular ...

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  19. An iron pole consisting of a cylindrical portion 110 cm high and of...

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  20. The largest cone is curved out from one face of solid cube of side 21 ...

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