Class 9 Quiz Level 2 (Moderate) – Surface Areas and Volumes

Total questions: 20

A cone has a base radius 3 cm and height of 4 cm , if the cone is melted and recast into a cylinder of the same base radius, what is the height of the cylinder?

Topic: Volume of Cones

Deselect Answer

1 cm

2 cm

3 cm

4 cm

None

A cylindrical water tank has a radius of 5 m and the height of 20 m . if the tank is open at the top , what is the surface area that needs to be painted?

Topic: Surface Area of Cuboids

Deselect Answer

$ \displaystyle 200\pi \text{ }{{\text{m}}^{2}}$

$ \displaystyle 250\pi \text{ }{{\text{m}}^{2}}$

$ \displaystyle 300\pi \text{ }{{\text{m}}^{2}}$

$ \displaystyle 350\pi \text{ }{{\text{m}}^{2}}$

None

A cone with a height of 9 cm and base radius of 5 cm is partially filled with water. If the water height is 6 cm , what is the volume of water in the cone?

Topic: Volume of Cones

Deselect Answer

$ \displaystyle 100\pi \text{ c}{{\text{m}}^{3}}$

$ \displaystyle 150\pi \text{ c}{{\text{m}}^{3}}$

$ \displaystyle 200\pi \text{ c}{{\text{m}}^{3}}$

$ \displaystyle 250\pi \text{ c}{{\text{m}}^{3}}$

None

The height of cone is three times its base radius . if the volume of the cone is $\displaystyle 48\pi \text{ c}{{\text{m}}^{3}}$ ,what is the height of the cone?

Topic: Volume of Cones

Deselect Answer

4 cm

6 cm

8 cm

12 cm

None

A solid metal sphere of radius 6 cm is melted and recast into 8 identical spheres. What is the radius of each smaller sphere?

Topic: Volume of Spheres

Deselect Answer

3 cm

4 cm

5 cm

6 cm

None

A cone has a slant height of 13 cm and base radius of 5 cm. If the height of the cone is 12 cm , what is the volume of the cone?

Topic: Volume of Cones

Deselect Answer

$ \displaystyle 100\pi \text{ c}{{\text{m}}^{3}}$

$ \displaystyle 300\pi \text{ c}{{\text{m}}^{3}}$

$ \displaystyle 400\pi \text{ c}{{\text{m}}^{3}}$

$ \displaystyle 500\pi \text{ c}{{\text{m}}^{3}}$

None

A hemisphere has a diameter of 20 cm , if the outer surface is to be painted , what is the area that needs to be painted?

Topic: Surface Area of Hemispheres

Deselect Answer

$ \displaystyle 200\pi \text{ c}{{\text{m}}^{2}}$

$ \displaystyle 400\pi \text{ c}{{\text{m}}^{2}}$

$ \displaystyle 500\pi \text{ c}{{\text{m}}^{2}}$

$ \displaystyle 600\pi \text{ c}{{\text{m}}^{2}}$

None

A cylindrical can has a radius of 7 cm and height of 15 cm . What is the area of the metal sheet required to make the can, including the top and bottom?

Topic: Surface Area of Cylinders

Deselect Answer

$ \displaystyle 968\pi \text{ c}{{\text{m}}^{2}}$

$ \displaystyle 858\pi \text{ c}{{\text{m}}^{2}}$

$ \displaystyle 772\pi \text{ c}{{\text{m}}^{2}}$

$ \displaystyle 616\pi \text{ c}{{\text{m}}^{2}}$

None

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

Deselect Answer

$ \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

10.

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: Surface Area of Spheres

Deselect Answer

4 cm

5 cm

6 cm

7 cm

None

11.

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

Deselect Answer

9 cm

10 cm

11 cm

12 cm

None

12.

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

Deselect Answer

38500 L

61600 L

77000 L

96250 L

None

13.

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

Deselect Answer

700 cm²

750 cm²

800 cm²

850 cm²

None

14.

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

Deselect Answer

32.56 m²

36.96 m²

43.96 m²

48.96 m²

None

15.

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

Deselect Answer

3 cm

4 cm

5 cm

6 cm

None

16.

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

Deselect Answer

288 cm

288π cm

432 cm

864 cm

None

17.

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

Deselect Answer

576π cm²

480 π cm²

376π cm²

224π cm²

None

18.

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

Deselect Answer

65π cm²

130π cm²

195π cm²

260π cm²

None

19.

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

Topic: Surface Area of Spheres

Deselect Answer

179.67 cm³

239.67 cm³

319.67 cm³

419.67 cm³

None

20.

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

Deselect Answer

308 m²

462 m²

616 m²

770 m²

None

1 out of 20

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Class 9 Quiz Level 2 (Moderate) – Surface Areas and Volumes

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