Volume of cylinder
Volume of cylinder
Volume of A Cylinder: Volume of Cylinder = Measure of the space occupied by the cylinder
= The area of each circular sheet x Height
=
Thus, Volume of a right circular cylinder = Area of the base x Height =
Illustration: Find the volume of a right circular cylinder, if the radius of its base and height are 7 cm and 15 cm respectively.
Solution: We know that, Volume of cylinder = . Here, r = 7cm and h = 15cm
Volume of cylinder
Illustration: A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled into it. The diameter of the pencil is 7mm, the diameter of the graphite is 1 mm and the length of the pencil is 14 cm. Find the:
(i) Volume of the graphite
(ii) Volume of the wood
(iii) The weight of the whole pencil, if the specific gravity of the wood is and that of the graphite is
.
Solution: We have,
Diameter of the graphite cylinder = 1 mm =
So, radius of the graphite cylinder
Length of the graphite cylinder = 14 cm
Volume of the graphite cylinder
(ii) We have,
Diameter of the pencil = 7 mm
So, radius of pencil
Length of pencil = 14 cm
Volume of the pencil
Volume of the wood
(iii) We have,
The area of the base of the right circular cylinder is 154 sq cm and its height is 15 cm. Find the volume of the cylinder in | |||
| Right Option : A | |||
| View Explanation | |||
The circumference of the base of a cylinder is 132 cm and its height 25 cm. Find the volume of the cylinder in | |||
| Right Option : B | |||
| View Explanation | |||
If the radius of a cylinder becomes half and the height gets doubled, what is the ratio of new volume of the cylinder to the original volume ? | |||
| Right Option : C | |||
| View Explanation | |||
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