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#### Mensuration Five Marks Questions

10th Standard EM

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Maths

Time : 01:00:00 Hrs
Total Marks : 50
10 x 5 = 50
1. Find the volume of a cylinder whose height is 2 m and whose base area is 250 m2.

2. The volume of a cylindrical water tank is 1.078×106 litres. If the diameter of the tank is 7m, find its height.

3. The volume of a solid right circular cone is 11088 cm3. If its height is 24 cm then find the radius of the cone.

4. The volume of a solid hemisphere is 29106 cm3. Another hemisphere whose volume is two-third of the above is carved out. Find the radius of the new hemisphere.

5. Calculate the weight of a hollow brass sphere if the inner diameter is 14 cm and thickness is 1mm, and whose density is 17.3 g/ cm3.

6. A metallic sphere of radius 16 cm is melted and recast into small spheres each of radius 2 cm. How many small spheres can be obtained?

7. A cone of height 24 cm is made up of modeling clay. A child reshapes it in the form of a cylinder of same radius as cone. Find the height of the cylinder.

8. A right circular cylindrical container of base radius 6 cm and height 15 cm is full of ice cream. The ice cream is to be filled in cones of height 9 cm and base radius 3 cm, having a hemispherical cap. Find the number of cones needed to empty the container.

9. What is the ratio of the volume of a cylinder, a cone, and a sphere. If each has the same diameter and same height?

10. Find the number of coins, 1.5 em is diameter and 0.2 em thick, to be melted to form' a right circular cylinder of height 10 ern and diameter 4.5 cm.