The radius of the base of closed right circular cylinder is 2.8 m and its length is 5 m. How many metre square of metal sheet is needed to make the cylinder.
Answers
Answer:
137.28 metre square of metal sheet is needed to make the cylinder.
Step-by-step-explanation:
We have given that,
For a closed right circular cylinder,
- Radius ( r ) = 2.8 m
- Length ( h ) = 5 m
We have to find the area of metal sheet required to make the cylinder.
As the cylinder is closed, metal sheet is required to make the curved part, top and bottom of the cylinder.
Area of metal sheet = Total surface area of the cylinder
⇒ Area of metal sheet = 2 π r ( r + h )
⇒ Area of metal sheet = 2 π * 2.8 ( 2.8 + 5 )
⇒ Area of metal sheet = 2 * ( 22 / 7 ) * 2.8 * 7.8
⇒ Area of metal sheet = 2 * 22 * 2.8 ÷ 7 * 7.8
⇒ Area of metal sheet = 2 * 22 * 0.4 * 7.8
⇒ Area of metal sheet = 2 * 11 * 2 * 0.4 * 7.8 * 100 / 100
⇒ Area of metal sheet = ( 2 * 2 * 11 * 4 * 78 ) / 100
⇒ Area of metal sheet = ( 4 * 4 * 11 * 13 * 6 ) / 100
⇒ Area of metal sheet = ( 16 * 66 * 13 ) / 100
⇒ Area of metal sheet = ( 1056 * 13 ) / 100
⇒ Area of metal sheet = 13728 ÷ 100
⇒ Area of metal sheet = 137.28 m²
∴ 137.28 metre square of metal sheet is needed to make the cylinder.