Find the area of the sheet required to make closed cylindrical vessel of height 1 m
and diameter 140 cm
Answers
Answer:
Step-by-step explanation:
It is given that diameter of cylindrical vessel is 140 cm
Diameter = 140 cm
Therefore,
Radius of cylindrical vessel = 140/2 = 70 cm
Now,
Converting the cm in m we get,
70 cm = 70/100 = 0.7 m
And it is also given that height of cylindrical vessel is 1 m
Height = 1 m
★ According to question now,
Area of sheet required = TSA of cylinder
=> 2πr (r + h)
=> 2 × 22/7 × 0.7 (0.7 + 1)
=> 4.4 × 1.7
=> 7.48 m²
Therefore, Area required to make closed cylindrical vessel is 7.48 m².
Given:
Height of the vessel=1m
Diameter of the vessel=140cm
To find:
The area of the sheet required
Solution:
The area of the sheet required to make the closed cylindrical vessel is 7.48m².
We can find the area by following the given steps-
We know that to make a closed cylindrical vessel, we need to calculate the total surface area of the vessel.
The total surface area of the cylindrical vessel= Curved surface area of vessel+ area of the top and bottom circles
=2πRH+2πR²
=2πR(H+R), where R is the radius and H is the height of the vessel.
The height of the cylindrical vessel=1m
The diameter of the vessel=140cm= 1.4m
So, the radius of the vessel=Diameter/2
=1.4/2=0.7m
The total area of the sheet required=2πR(H+R)
On putting the values, we get
Total area= 2π×0.7×(1+0.7)
=2π×0.7×1.7
=2×22/7×7/10×17/10
=44×17/100
=7.48m²
Therefore, the area of the sheet required to make the closed cylindrical vessel is 7.48m².