Volume of Hemisphere
Volume of Hemisphere
Volume of Hemisphere: The volume V of a hemisphere of radius r is given by
Illustration: Find the volume of a hemisphere of radius 3.5cm.
Solution: We know that the volume V of hemisphere of radius r is given by
Illustration: A hemispherical bowl of internal diameter 36 cm contains a liquid. This liquid is to be filled in cylindrical bottles of radius 3 cm and height 6 cm. How many bottles are required to empty the bowl?
Solution: We have, Radius of the hemispherical bowl = 18cm
Volume of the hemispherical bowl
Radius of a cylindrical bottle = 3 cm
Height of a cylindrical bottle = 6 cm
Volume of a cylindrical bottle
Suppose x bottles are required to empty the bowl.
Volume of x cylindrical bottles
Clearly, Volume of liquid in x bottles = Volume of bowl
Hence, 72 bottles are required to empty the bowl.
A cone and a hemisphere have equal bases and equal volumes. The ratio of their heights is _________________ | |||
| Right Option : C | |||
| View Explanation | |||
The ratio of volume of a cylinder to that of hemisphere with the same height and base is __________________ | |||
| Right Option : C | |||
| View Explanation | |||
A hemispherical bowl has a radius of 3.5 cm. What would be the volume of liquid it would contain ? | |||
| Right Option : B | |||
| View Explanation | |||
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