Volume of Sphere
Volume of A Sphere
Volume of A Sphere: The volume V of a sphere of radius r is given by
Illustration: Find the volume of a sphere of radius 7cm.
Solution: We know that the volume V of a sphere of radius r is given by
Illustration: A solid lead ball of radius 7 cm was melted and then drawn into a wire of diameter 0.2 cm. Find the length of the wire.
Solution: We have,
Radius of the lead ball = 7 cm
As the ball is spherical, Volume of the lead ball
So, Volume of the lead ball
Clearly, the wire is a cylinder of radius 0.1 cm.
Let the length of the wire be h cm. Then,
Volume of the wlre
Volume of the wlre
But, Volume of the wire = Volume of the lead ball
Hence, the length of the wire = 457.33 m
Illustration: A solid sphere of radius 1 cm is melted to stretch into a wire of length 100 cm. Find the radius of the wire.
Solution: We have,
Find the volume of the sphere of radius 0.7 cm. | |||
| Right Option : B | |||
| View Explanation | |||
The area of a sphere in sq. cm is 3 times its volume in cubic cm. Therefore, the diameter of the sphere must be ____________________ | |||
| Right Option : B | |||
| View Explanation | |||
Find the volume of sphere of radius 2 cm | |||
| Right Option : D | |||
| View Explanation | |||
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