Class 9 Practice – Level 2 – Set 2 – Surface Areas and Volumes

Total questions: 25

A cylindrical pipe has an internal diameter of 10 cm and is 14 m long. What is the volume of water that can flow through the pipe in one minute if water flows at a rate of 3m/s?

Topic: Volume of Cylinders

$ \displaystyle \text{4200 c}{{\text{m}}^{3}}$

$ \displaystyle \text{6600 c}{{\text{m}}^{3}}$

$ \displaystyle \text{10500 c}{{\text{m}}^{3}}$

$ \displaystyle \text{13200 c}{{\text{m}}^{3}}$

None

A solid sphere is melted and cast into a hollow spherical shell of outer radius 6 cm and thickness 1 cm. What is the inner radius of the shell?

Topic: Volume of Spheres

4 cm

5 cm

6 cm

7 cm

None

A right circular cone with a base radius of 5 cm and height of 12 cm is partially filled with water. The water is transferred into a smaller cone of height 8 cm. What is the height of the water in the smaller cone?

Topic: Volume of Cones

2 cm

4 cm

6 cm

8 cm

None

A cylindrical pillar has a diameter of 1.4 m and a height of 10 m. How much area is covered by the pillar's curved surface if it is to be painted?

Topic: Surface Area of Cylinders

32.56 m²

36.96 m²

43.96 m²

48.96 m²

None

A metallic sphere of radius 6 cm is melted and drawn into a wire of uniform cross- sectional area of 3 cm². What is the length of the wire?

Topic: Volume of Spheres

288 cm

288π cm

432 cm

864 cm

None

A right circular cone has a base radius of 7 cm and slant height of 25 cm. What is the total surface area of the cone?

Topic: Surface Area of Cones

576π cm²

480 π cm²

376π cm²

224π cm²

None

The height of a cylinder is 4 times its radius. If the volume of the cylinder is 1256 cm³, what is the radius of the cylinder?

Topic: Volume of Cylinders

3 cm

4 cm

5 cm

6 cm

None

A spherical ball with a diameter of 10 cm is covered with a layer of paint. If the thickness of the paint is 0.5 cm, what is the volume of the paint used?

Topic: Surface Area of Spheres

100π cm³

150π cm³

200π cm³

250π cm³

None

A cone with a base radius of 6 cm is melted and recast into 8 identical smaller cones. If the height of each smaller cone is 4 cm, what is the height of the original cone?

Topic: Volume of Cones

16 cm

24 cm

32 cm

40 cm

None

10.

A cuboid has dimensions 15 cm x 10 cm x 5 cm. If the cuboid is cut into two equal halves along its height, what is the total surface area of the resulting solid?

Topic: Surface Area of Cuboids

700 cm²

750 cm²

800 cm²

850 cm²

None

11.

A cylindrical tank with a base diameter of 7 m is partially filled with water to a height of 5 m. How many liters of water are in the tank?

Topic: Volume of Cylinders

38500 L

61600 L

77000 L

96250 L

None

12.

A conical tent has a radius of 7 m and a height of 24 m. If the canvas required to make the tent costs Rs. 30 per square meter, what is the total cost of the canvas?

Topic: Surface Area of Cones

Rs. 6600

Rs. 7920

Rs. 9240

Rs. 10560

None

13.

A spherical tank has a diameter of 10 m. If the tank is half-filled with water, what is the volume of water in the tank?

Topic: Volume of Spheres

250 m³

261.8 m³

500 m³

523.6 m³

None

14.

A hemisphere has a radius of 7 cm. If the total surface area of the hemisphere is to be painted, what is the area that needs to be painted?

Topic: Volume of Hemispheres

250π cm²

300π cm²

350π cm²

400π cm²

None

15.

A cone with a height of 12 cm and base radius of 7 cm is cut into two parts by a plane parallel to the base. The height of the smaller cone is 4 cm. What is the volume of the smaller cone?

Topic: Volume of Cones

49π cm³

100π cm³

150π cm³

200π cm³

None

16.

A cylindrical container with a height of 10 cm has a surface area of 660 cm². If the container is open at the top, what is the radius of its base?

Topic: Surface Area of Cylinders

5 cm

6 cm

7 cm

8 cm

None

17.

A hemisphere is filled with water, and the water is transferred into a cylindrical container with the same base radius as the hemisphere. If the height of the water in the cylinder is 9 cm, what is the radius of the hemisphere?

Topic: Volume of Hemispheres

9 cm

10 cm

11 cm

12 cm

None

18.

A conical tent has a base diameter of 14 m and a slant height of 20 m. What is the total area of the canvas required to make the tent, including the floor?

Topic: Surface Area of Cones

308 m²

462 m²

616 m²

770 m²

None

19.

A cuboid has dimensions 12 cm x 8 cm x 6 cm. If the length and breadth are both doubled, what is the new volume of the cuboid?

Topic: Volume of Cuboids

1152 cm³

1440 cm³

1920 cm³

2304 cm³

None

20.

The surface area of a sphere is 154 cm². What is the volume of the sphere?

Topic: Surface Area of Spheres

179.67 cm³

239.67 cm³

319.67 cm³

419.67 cm³

None

21.

A cone has a base radius of 8 cm and a height of 15 cm. If a smaller cone with the same height has a volume that is 1/8th of the original cone, what is the base radius of the smaller cone?

Topic: Volume of Cubes

2 cm

3 cm

4 cm

5 cm

None

22.

hemisphere has a curved surface area of 308 cm². What is the total surface area of the hemisphere?

Topic: Surface Area of Hemispheres

462 cm²

616 cm²

770 cm²

924 cm²

None

23.

The height of a cylinder is 1/3 of its radius. If the volume of the cylinder is 432 cm³, what is its radius?

Topic: Volume of Cylinders

6 cm

8 cm

9 cm

12 cm

None

24.

A cone has a slant height of 13 cm and a base radius of 5 cm. What is the lateral surface area of the cone?

Topic: Surface Area of Cones

65π cm²

130π cm²

195π cm²

260π cm²

None

25.

A sphere is cut into two equal hemispheres. If the volume of the sphere was 288 cm³, what is the surface area of each hemisphere?

Topic: Volume of Spheres

96π cm²

144π cm²

192π cm²

288π cm²

None

1 out of 25

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Class 9 Practice – Level 2 – Set 2 – Surface Areas and Volumes

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