Math, asked by rohit9187, 2 months ago

How much metal sheet is required to make a closed cylindrical tank of height 50 cm and diameter
of base 112 cm? Find the area of the metal sheet in sq. m.​

Answers

Answered by tennetiraj86
9

Step-by-step explanation:

Given:-

a closed cylindrical tank of height 50 cm and diameter of base 112 cm

To find:-

How much metal sheet is required to make a closed cylindrical tank of height 50 cm and diameter of base 112 cm? Find the area of the metal sheet in sq. m.?

Solution:-

Diameter of the closed cylindrical tank (d)=112 cm

Radius (r)=Diameter/2

=>r=112/2

=>r=56 cm

Radius of the cylindrical tank= 56 cm

Height of the cylindrical tank (h)=50 cm

The required metal sheet to make a closed cylindrical tank is its total surface area.

=>Total surface area of the cylinder

=>2πr(r+h) sq.units

=>2(22/7)×56(56+50) sq.cm

=>(2×22×56×106)/7 sq.cm

=>2×22×8×106 sq.cm

=>37312 sq.cm

Total surface area of the cylindrical tank =

37312 sq.cm

We know that 1 sq.m = 10000 sq.cm

1 sq.cm = 1/10000 sq.m

=>37312 sq.cm = 37312/10000 sq.m

=>37312 sq.cm = 3.7312 sq.m

Answer:-

Required area of the metal sheet to make a closed cylindrical tank = 37312 sq.cm

Area of the metal sheet in sq.meters = 3.7312 sq.m

Used formula:-

Total surface area of a cylinder whose radius is "r" units and height is "h" units = 2πr(r+h) sq.units

Where, π=22/7

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