In **NCERT Solution For Class 10, Maths, Chapter 13, Surface Areas And Volumes, Exercise 13.3**, we will discuss questions related to conversion of Solid from One Shape to Another. let take an example, a candle. When we melt the candle, we can give it to any shape. So, in **ex. 13.3, Chapter 13, class 10** we will study about conversion of one shape to another shape.

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Toggle## Class 10, Maths, Chapter 13, Exercise 13.3 Solutions

Take π = $\frac{22}{7}$, unless state otherwise.

**Q.****1. A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm. Find the height of the cylinder.**

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**Q.****2. Metallic spheres of radii 6 cm, 8 cm and 10 cm, respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere.**

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**Q.****3. A 20 m deep well with diameter 7 m is dug and the earth from digging is evenly spread out to form a platform 22 m by 14 m. Find the height of the platform.**

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**Q.****4. A well of diameter 3 m is dug 14 m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 4 m to form an embankment. Find the height of the embankment.**

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**Q.5. A container shaped like a right circular cylinder having diameter 12 cm and height 15 cm ****is full of ice cream. The ice cream is to be filled into cones of height 12 cm and diameter 6 cm, having a hemispherical shape on the top. Find the number of such cones which can be filled with ice cream.**

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**Q.6. How many silver ****coins, 1.75 cm in diameter and of thickness 2 mm, must be melted to form a cuboid of dimensions 5.5 cm × 10 cm × 3.5 cm?**

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**Q.****7. A cylindrical bucket, 32 cm high and with radius of base 18 cm, is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm, find the radius and slant height of the heap.**

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**Q.****8. Water in a canal, 6 m wide and 1.5 m deep, is flowing with a speed of 10 km/h. How much area will it irrigate in 30 minutes, if 8 cm of standing water is needed?**

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**Q.9. A farmer connects ****a pipe of internal diameter 20 cm from a canal into a cylindrical tank in her field, which is 10 m in diameter and 2 m deep. If water flows through the pipe at the rate of 3 km/h, in how much time will the tank be filled?**

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