Class 10 Quiz Level 3 (Difficult) – Surface Areas and Volumes

Total questions: 10

A solid metal sphere of radius 6 cm is melted and recast into smaller spheres, each of radius 2 cm. How many smaller spheres can be made?

Topic: Volume of a Sphere

Deselect Answer

None

A spherical balloon is inflated such that its radius increases from 7 cm to 14 cm. By what factor does the surface area increase?

Topic: Surface Area of a Sphere

Deselect Answer

None

A spherical tank has a capacity of 5000 liters. Find the radius of the tank in meters.

Topic: Volume of a Sphere

Deselect Answer

0.95 m

1.07 m

1.33 m

1.50 m

None

A cylindrical tank with radius 5 m is filled with water to a height of 9 m. If the water is emptied into a cuboidal tank of dimensions 10 m x 6m x 4.5 m, will the water overflow?

Topic: Volume of a Cylinder

Deselect Answer

Yes

None

The volume of a sphere is 38808 cm³. Find its surface area.

Topic: Volume of a Sphere

Deselect Answer

1256 cm²

2827 cm²

4524 cm²

6160 cm²

None

A solid sphere of radius 12 cm is cut into 8 identical pieces. What is the surface area of each piece?

Topic: Surface Area of a Sphere

Deselect Answer

144π cm²

288π cm²

432π cm²

576π cm²

None

Two hemispheres of radii 6 cm and 8 cm are combined to form a solid. Find the volume of the resulting solid.

Topic: Volume of a Hemisphere

Deselect Answer

1080 cm³

1264 cm³

1640 cm³

1792 cm³

None

A hollow hemispherical shell with an outer radius of 10 cm and inner radius of 9 cm is to be painted. What is the area to be painted?

Topic: Surface Area of a Hemisphere

Deselect Answer

361π cm²

100π cm²

209π cm²

190π cm²

None

A spherical ball of diameter 28 cm is melted and recast into smaller balls of diameter 7 cm. How many smaller balls can be made?

Topic: Volume of a Sphere

Deselect Answer

None

10.

A sphere of radius 4 cm is melted and recast into 8 smaller identical spheres. Find the radius of each smaller sphere.

Topic: Volume of a Sphere

Deselect Answer

2 cm

2.5 cm

3 cm

3.5 cm

None

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Class 10 Quiz Level 3 (Difficult) – Surface Areas and Volumes

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