# NCERT Mathematics Class 9 Exemplar Ch 13 Surface Areas and Volumes Part 4 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Exercise 13.3**

Q. 1. Metal spheres, each of radius 2 cm, are packed into a rectangular box of internal dimensions . When 16 spheres are packed the box is filled with preservative liquid. Find the volume of this liquid. Give your answer to the nearest integer.

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Q. 2. A storage tank is in the form of a cube. When it is full of water, the volume of water is . If the present depth of water is , find the volume of water already used from the tank.

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Q. 3. Find the amount of water displaced by a solid spherical ball of diameter , when it is completely immersed in water.

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Q. 4. How many square metres of canvas is required for a conical tent whose height is and the radius of the base is ?

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Q. 5. Two solid spheres made of the same metal have weights and , respectively. Determine the radius of the larger sphere, if the diameter of the smaller one is .

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Q. 6. A school provides milk to the students daily in a cylindrical glasses of diameter . If the glass is filled with milk upto a height of , find how many liters of milk is needed to serve 1600 students.

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Q. 7. A cylindrical roller in length, in radius when rolled on a road was found to cover the area of . How many revolutions did it make?

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Q. 8. A small village, having a population of , requires 75 liters of water per head per day. The village has got an overhead tank of measurement For how many days will the water of this tank last?

Answer: 40 days

Q. 9. A shopkeeper has one spherical laddoo of radius . With the same amount of material, how many laddoos of radius can be made?

Answer: 8 laddoos

Q. 10. A right triangle with sides 6 cm, 8 cm and 10 cm is revolved about the side 8 cm. Find the volume and the curved surface of the solid so formed.

Answer: