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

1 thought on “A rectangular sheet of cardboard having dimensions<br /> 20 cm by 16 cm is rolled into a cylinder of height<br /> 16 cm. Find the”

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.

   Reply