Mathematics Class - 10>Chapter 15 - Surface Area and Volume of Solids>Exercise – 4>Q 5

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10th Chhattisgarh Board

IMPORTANT

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By melting down $21$ small metallic balls, each of radius $2 cm$ , one big sphere is made. Calculate the volume of this sphere in ${cm}^{3}$ . (Use $π = \frac{22}{7}$ )

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Important Questions on Surface Area and Volume of Solids

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10th Chhattisgarh Board

IMPORTANT

Mathematics Class - 10>Chapter 15 - Surface Area and Volume of Solids>Exercise – 4>Q 6

By melting down a sphere of radius

10.5 cm

somes mall cones are made, each of height

3 cm

and radius

3.5 cm

. Find the number of such cones.

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10th Chhattisgarh Board

IMPORTANT

Mathematics Class - 10>Chapter 15 - Surface Area and Volume of Solids>Exercise – 4>Q 7

After filling the air in a spherical balloon of radius

7 cm

it becomes

14 cm

. Calculate the ratio of the surface area of the balloon in both conditions.

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10th Chhattisgarh Board

IMPORTANT

Mathematics Class - 10>Chapter 15 - Surface Area and Volume of Solids>Exercise – 4>Q 8

Calculate the volume of a sphere having surface area equal to

154 {cm}^{2}

. (Use

π = \frac{22}{7}

)

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10th Chhattisgarh Board

IMPORTANT

Mathematics Class - 10>Chapter 15 - Surface Area and Volume of Solids>Exercise – 4>Q 9

Ratio of the volume of

2

spheres is

64 : 27

. Calculate the ratio of their surface areas.

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10th Chhattisgarh Board

IMPORTANT

Mathematics Class - 10>Chapter 15 - Surface Area and Volume of Solids>Exercise – 4>Q 10

Radius of a solid sphere is

12 cm

. How many spheres of radius

6 cm

can be made by melting this sphere.

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10th Chhattisgarh Board

IMPORTANT

Mathematics Class - 10>Chapter 15 - Surface Area and Volume of Solids>Exercise – 4>Q 11

If the volume and surface area of a sphere are equal then calculate its radius.

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10th Chhattisgarh Board

IMPORTANT

Mathematics Class - 10>Chapter 15 - Surface Area and Volume of Solids>Exercise – 4>Q 12

A child converts a cone of height

24 cm

and base radius

6 cm

into a sphere. Calculate the radius of the sphere in

cm

.

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10th Chhattisgarh Board

IMPORTANT

Mathematics Class - 10>Chapter 15 - Surface Area and Volume of Solids>Exercise – 4>Q 13

By melting down

3

spherical balls of radius

6 cm, 8 cm

and

10 cm

one big solid sphere is made. Calculate the radius (in

cm

) of the new solid sphere.