Question

A rectangular sheet of cardboard having dimensions
20 cm by 16 cm is rolled into a cylinder of height
16 cm. Find the volume of the cylinder thus formed.​

Answer 1

Answer:

• The volume of cylinder is 509.09 cm³.

Step-by-step explanation:

Given :-

• A rectangular sheet of cardboard having dimensions 20 cm by 16 cm is rolled into a cylinder of height 16 cm.

To Find :-

• The volume of the cylinder formed.

Basic Terms :-

• Volume : volume can be defined as the 3-dimensional space enclosed by a boundary or occupied by an object. 
• Cylinder : A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance.

Formula Used :-

✦ Circumference of cylinder = 2πr ✦

✪ Volume of cylinder = πr²h ✪

Solution :-

➊ To find the volume of cylinder it is important to have it's radius. Then firstly, we will find out the radius of the cylinder.

Given :

• Length = 20 cm.

According to the question by using the formula we get,

↦ 2πr = 20

↦ 2 × 22/7 × r = 20

↦ 22/7 × r = 20/2

↦ 22/7 × r = 10

↦ r = 10 × 7/22

↦ r = 70/22

➦ r = 35/11 cm

Hence, the radius of the cylinder is 35/11 cm.

➋ Now we have the radius of the cylinder. So, now we will find out the volume of the cylinder.

Given :

• Width or height = 16cm.
• Radius = 35/11 cm.

According to the question by using the formula we get,

↦ Volume of cylinder = πr²h

↦ Volume of cylinder = 22/7 × (35/11)² × 16

↦ Volume of cylinder = 22/7 × 35/11 × 35/11 × 16

↦ Volume of cylinder = 10 × 35/11 × 16

↦ Volume of cylinder = 160 × 35/11

➦ Volume of cylinder = 509.09 cm³

∴ Therefore, volume of cylinder is 509.09 cm³.