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,
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 |
A hollow garden roller, 63 cm wide with a girth of 440 cm, is made of 4 cm thick iron. Find the volume of the iron. (In cu cm) | |||
Right Option : C | |||
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 |
A marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
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It was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
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Usually we see institutes offering objective based learning which usually causes a lag behind in subjective examinations which is the pattern followed by schools. I think it is really a work of planning to make us students grab the advantages of modes of examination, Objective Subjective and Onli...
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