**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.

**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:**

πr^{2}h. 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 cm^{3}

(b) 16272 cm^{3}

(c) 12627 cm^{3}

(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) πr^{2}h

(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 cm^{3}. 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 cm^{3}

(b) 1056 cm^{3}

(c) 1605 cm^{3}

(d) 1560 cm^{3}

**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 m^{2}

(b) 1854 m^{2}

(c) 1584 m^{2}

(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 cm^{2}

(b) 968 cm^{2}

(c) 980 cm^{2}

(d) 960 cm^{2}

**Answers**

- (a)
- (b)
- (b)
- (b)
- (c)
- (a)
- (a)
- (a)
- (c)
- (b)

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