## VOLUMES SURFACE AND AREA IMPORTANT QUESTIONS

**VOLUMES SURFACE AND AREA**

**PART 1**

**1. The curved surface area of a right circular cylinder of height 20 cm is 100 cm2. Find the radius of the base of the cylinder. (Take π = 22/7)**

**2. The outer diameter of a pipe is 1.6 m and it is 15 m long. Find (i) its outer curved surface area (ii) the cost of painting the outer surface of the pipe at the rate of Rs. 15 per m2.**

3. Khushi cap is in the form of a right circular cone of base radius 15 cm and the height 20 cm. Find the area of the sheet required to make 5 such caps.

4. Curved surface area of a cone is 220 cm2 and its slant height is 10 cm. Find total surface area of the cone.

3. Khushi cap is in the form of a right circular cone of base radius 15 cm and the height 20 cm. Find the area of the sheet required to make 5 such caps.

4. Curved surface area of a cone is 220 cm2 and its slant height is 10 cm. Find total surface area of the cone.

**5. The surface area of a sphere is 440 cm2, what will be its diameter?**

**6. The radius of the hemisphere is 15 cm. Find the cost of painting the surface at the rate of Rs.1.5 per 50 cm2.**

**7. 12 m2 metal sheet is required to make a closed circular tank of radius 0.5 m. Find the height of the tank.**

**8. Inner and outer radii of a metallic pipe are 2 cm and 2.5 cm. If the length of pipe is 50 cm, find its total surface area.**

**9. The height of a cone is 7 cm and radius of its base is also 7 cm. Find its curved surface area.**

**10. The base radius of a cone is twice its height. If the curved surface area of cone is 220 cm2, then find the base radius and total surface area of cone.**

__PART2__

1. A cuboid wooden block contains 144 cu cm. of wood. If it is 6 cm. long and 3 cm. wide, find its height.

2. The total surface area of a cube is 96m2. Find its volume.

3. The diagonals of a rhombus are of length 16 cm. and 30 cm. Find its area.

4. Three cubes, each of edge 2 cm. long are placed together. Find the total surface area of the cuboid so formed

5. The rainfall on a certain day was 12 cm. How many liters of water fell on 3 hectares of land on that day?

6. The diameter of a road roller, 1m40cm long is 80cm. If it takes 600 revolutions to level a playground, find the cost of leveling the ground at Rs. 3 perm2.

7. A rectangular sheet of aluminum foil is 44 cm. long and 20 cm. wide. A cylinder is made out of it, by rolling the foil along width. Find the volume of the cylinder.

8. The perimeter of the floor of a hall is 250 m. If the height is 4m, find the cost of painting the four walls at the rate of Rs. 12 per square meter.

9. By how many times do the volume and surface area of a cube increase if its edges get doubled?

10. The diagonals of a rhombus are of length 16 cm. and 30 cm. Find its area.

**11. A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kilolitres?**

**12. The volume of a right circular cone is 9856 cm3. If the diameter of the base is 28 cm, find (i) height of the cone,(ii) slant height of the cone,(iii) curved surface area of the cone.**

**13. A conical tent is 9 m high with base diameter 24 m. Find the number of persons it can accommodate if each person requires(i) 2 m2 space on the ground,(ii) 15 m3space to breathe,(iii) 2 m2 space on the round and 15 m3 space to breathe.**

**14. A right triangle ABC with its sides 5 cm, 12 cm and13 cm is revolved about the side 12 cm. Find the volume of the solid so obtained**

**15.If the triangle ABC in Question 9 above is revolved about the side 5 cm, then find the volume of the solid so obtained. Find also the ratio of the volumes of the two solids obtained.**

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