How many sheets of metal of
measurement 1 metre x 1 metre will
be required to make a cylinder with
height 14 metre and base radius 2
metre?
Answers
Answer:
201 metal sheets of size 1m×1m will be required to form a cylinder of height 14m and base radius of 2m.
Step-by-step explanation:
The dimension of each metal sheet = 1 m x 1 m
The dimensions of the cylinder to be formed:
Radius, r = 2 m
Height, h = 14 m
Therefore,
The no. of metal sheets required to form the cylinder is given by,
= [Surface area of the cylinder] / [Area of each metal sheet]
= [2πrh + 2πr²] / [side²]
= [{2*3.14*2*14} + {2*3.14*(2)²}] / [1²]
= [175.84 + 25.12]
= 200.96
≈ 201
Thus, 201 such metal sheets are required to form the cylinder of the given dimension.
Step-by-step explanation:
Dimension of metal sheets = Im x lm
Radius of cylinder = 2m
height of cylinder = 14m
No. of metal sheet = Surface area of the cylinder / Area of each metal sheet
= 2πr (h+ r) / d
=2x22/7x2 (14+2)
= 175.84 + 25.12
= 200.96
≈201
Thus, 201 such metal sheets are required to form the cylinder