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,
A patient in hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to height of 4 cm, how much soup the hospital has to prepare daily to serve 250 patients? | |||
| Right Option : A | |||
| View Explanation | |||
A rectangular sheet of paper, 36 cm x 22 cm, is rolled along its length to form a cylinder. Then the volume of cylinder formed is: | |||
| Right Option : A | |||
| View Explanation | |||
Find the lateral curved surface area of a cylindrical petrol tank, that is 4.2 m in diameter and 4.5 m high. How much steel was actually used if 1/12 of steel actually used was wasted in making the closed tank? (in sq meter) | |||
| Right Option : B | |||
| View Explanation | |||
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