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Right Circular Cylinder Experiment Class 10 Maths Practical NCERT

The experiment to determine Right Circular Cylinder are part of the Class 10 Maths Lab Manual provides practical activities and experiments to help students understand mathematical concepts effectively. It encourages interactive learning by linking theoretical knowledge to real-life applications, making mathematics enjoyable and meaningful.

Maths Lab Manual Class 10 CBSE Right Circular Cylinder Experiment

Determine Right Circular Cylinder Class 10 Practical

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

  1. Draw and cut a rectangle of length = l and breadth = b from a coloured sheet of paper.
  2. Curve the paper so that the two shorter sides come together.
  3. Join the edges by cello tape.
    NCERT Class 10 Maths Lab Manual - Right Circular Cylinder 1
  4. Write your observation.

Observation

  1. Rectangle transforms into a cylinder. Let radius of this cylinder be r.
  2. Height of the cylinder = breath of rectangle, i.e., b = h.
  3. 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.

You can also download NCERT Class 10 Maths to help you to revise complete syllabus and score more marks in your examinations.

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.
NCERT Class 10 Maths Lab Manual - Right Circular Cylinder 2

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

  1. (a)
  2. (b)
  3. (b)
  4. (b)
  5. (c)
  6. (a)
  7. (a)
  8. (a)
  9. (c)
  10. (b)

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NCERT Class 10 Maths Lab Manual