A manufacturer of tins uses rectangular tin sheets of size 72cm×14cm for manufacturing cylinder tins of radius 7cm and height 14cm how much sheet will be wasted?
Answers
Answer:
The amount of sheet wasted will be 392 cm²
Step-by-step explanation:
Given,
Length of rectangular tin = 72 cm
Breadth of rectangular tin = 14 cm
=> Area of the rectangular tins = L x B = 72 x 14 = 1008 cm²
Height of the cylindrical tin = 14 cm
Radius of the cylindrical tin = 7 cm
=> Area of the cylindrical tin = 2πrh
= 2 x 22/7 x 7 x 14
= 616 cm²
So amount of tin wasted = Area of rectangular tins - Area of cylindrical tin
= 1008 - 616
= 392 cm²
Hence the amount of sheet wasted will be 392 cm²
Answer:
Area of the sheet wasted = 84cm²
Explanation:
A manufacturer of tins uses rectangular tin sheets of size 72cm×14cm for manufacturing cylinder tins of radius 7cm and height 14cm
i) Dimensions of rectangular
tin sheet :
Length (l) = 72cm
breadth (b) = 14cm
Area of the rectangular sheet =
l × b
= 72cm × 14cm
= 1008 cm² ----( 1 )
ii ) Dimensions of the cylindrical tin :
radius (r) = 7cm
height (h) = 14cm
Sheet required to make a cylindrical tin =Total surface area of the cylinder
= 2πr(r+h)
= 2×(22/7)×7×(7+14)
= 2×22×21
= 924cm² ---( 2)
wasted sheet area = (1) - (2)
= 1008 cm² - 924 cm²
= 84 cm²
••••