The cross-section of a tunnel is a square of side 7 m surmounted by a semicircle.The tunnel is 80m long.Calculate the volume of the tunnel.PLS SOLVE THIS!! IT'S URGENT
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Answered by
38
Refer to the attachment please.
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sprao534:
the square is surmounted by semicircle. while calculating cross section you have to take area of square +area of 4 semi circles?
I see......
but you have to be clear about one thing here......surmount means
something at the top
so only 1 semicirlce's area
Answered by
45
Side of square = 7m
radius of semicircle = 7/2 m
Area of cross section = area of square + area of semicircle
=> Area of cross section = 7×7 + 1/2 × π × (7/2)^2
=> Area of cross section = 49 + 1/2 × 22/7 × 7/2 × 7/2
=> Area of cross section = 49 + 19.25
=> Area of cross section = 68.25 m^2
Length = 80m
Volume = Area of cross section × length
=> Volume = 68.25 × 80
=> Volume = 5460 m^3
Volume of tunnel is 5460 m^3
'cylinder surmounted by a hemisphere' means 'there is a hemisphere at the top of the cylinder'... If it says ''cylinder surmounted by two hemispheres' means 'there are two hemisphere at both the of the cylinder'..like in a capsule
thank you
:)
sorry, i think in different way
It's okay. Everyone has his own way:)) ..... Search 'tunnel cross section' in google image. You will get a clear understanding.
TPS are u a teacher?
No..
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