NCERT Class 10 Maths Lab Manual – Right Circular Cylinder
Objective
To make a right circular cylinder of given height and circumference of circular base from a given rectangle experimentally.
Prerequisite Knowledge
Formula for the circumference of a circle.
Materials Required
Coloured papers, a pair of scissors, fevicol, cello tape, pencil, ruler.
Procedure
- Draw and cut a rectangle of length = l and breadth = b from a coloured sheet of paper.
- Curve the paper so that the two shorter sides come together.
- Join the edges by cello tape.
- Write your observation.
Observation
- Rectangle transforms into a cylinder. Let radius of this cylinder be r.
- Height of the cylinder = breath of rectangle, i.e., b = h.
- Circumference of the base = length of rectangle, i.e., l = 2πr.
Result
A right circular cylinder can be made of the height and circumference of circular base from the rectangle of desired length and breadth.
Learning Outcome
Students will learn to make a cylinder of given height and circumference of the circular base.
Circumference of base = length of the rectangular sheet
Activity Time
Make a right circular cylinder of height 7 cm and circumference of base 20 cm.
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Viva Voce
Question 1.
What is a cylinder ?
Answer:
On folding a rectangular sheet along the length or breadth, we get shape called cylinder.
Question 2.
Is there any vertex of the cylinder ?
Answer:
No.
Question 3.
What is the volume of a cylinder ?
Answer:
πr2h. Where r = radius of base, h = height of cylinder.
Question 4.
If r of cylinder is doubled, then by how much its volume will increase ?
Answer:
Four times.
Question 5.
What is the axis of cylinder ?
Answer:
Line joining the centres of the circular cross-sections of a cylinder is called the axis of the cylinder.
Question 6.
If the height of right circular cylinder is doubled then by how much its volume will increase ?
Answer:
Two times.
Question 7.
If the height of a circular cylinder is reduced to one-nineth and the radius of its base is trippled, then what will be the effect on the volume of the cylinder ?
Answer:
No change in the volume of the cylinder.
Question 8.
If the radius of the base of a right-circular cylinder is halved keeping the height same, find the ratio of the volume o’f the reduced cylinder to that of the original cylinder.
Answer:
1:4.
Multiple Choice Questions
Question 1.
The volume of a cylinder with radius 12 cm and height 28 cm is
(a) 12672 cm3
(b) 16272 cm3
(c) 12627 cm3
(d) None of these
Question 2.
A cylindrical tank has a capacity of 6160 m . If the diameter of its base is 28 m, then its depth is
(a) 12 m
(b) 10 m
(c) 8 m
(d) none of these
Question 3.
Curved surface area of a right circular cylinder is
(a) πr2h
(b) 2πrh
(c) 2πr(h + r)
(d) none of these
Question 4.
The circumference of the base of a cylindrical vessel is 132 cm and its height is 25 cm. How many litres of water can it hold ?
(a) 3.465 l
(b) 34.65 l
(c) 346.5 l
(d) none of these
Question 5.
The radius and height of a cylinder are in the ratio 5:7 and its volume is 550 cm3. Then its radius is
(a) 7 cm
(b) 12 cm
(c) 5 cm
(d) none of these
Question 6.
The radii of two cylinders are in the ratio 2: 3 and their heights are in the ratio 5 : 4. Then the ratio of their volumes is
(a) 5:9
(b) 5:7
(c) 7:9
(d) none of these
Question 7.
Volume of a right circular cylinder which has height 21 cm and the base radius 5 cm is
(a) 1650 cm3
(b) 1056 cm3
(c) 1605 cm3
(d) 1560 cm3
Question 8.
Find the depth of a cylindrical tank of radius 28 m, if its capacity is equal to that of a rectangular tank of size 28 m x 16 m x 11 m.
(a) 2 m
(b) 3 m
(c) 4 m
(d) none of these
Question 9.
The diameter of a roller is 84 cm and its length is 120 cm. It takes 500 complete revolutions to move once over to level the playground area of the playground in m is
(a) 1845 m2
(b) 1854 m2
(c) 1584 m2
(d) none of these
Question 10.
A metallic pipe is 77 cm long. The inner diameter of a cross section is 4 cm, the outer diameter being 4.4 cm. Then its inner curved surface area is
(a) 869 cm2
(b) 968 cm2
(c) 980 cm2
(d) 960 cm2
Answers
- (a)
- (b)
- (b)
- (b)
- (c)
- (a)
- (a)
- (a)
- (c)
- (b)
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