a well is dug whose diameter is 4 metre and Depth is 10 metre .find the quantity of earth taken out and calculate the cost of plastering the curved surface at rupees 5.00 per square metre .
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Answer:
502 kg of earth will be taken out and it wil cost rupees 628.5 to plaster the well.
Step-by-step explanation:
Find the volume of the well and you will get the amount of earth taken out and find the curved surface area and multiple it by 5
Answered by
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Let h= 126m and base = b m and Hypotenuse = h m
By pythagorous therem, we have h2 = b2 + (126)2
h2 -b2 = (126)2
(h+b)(h-b) = (126)2
It is given that h-b = 42 m
(h+b)*42= 126*126
h+b = 126*126/42
h+b= 3*126 = 378.....(1)
h-b = 42.....(2)
Adding eq(1) and (2), we get
2h= 420
h = 420/2=210m
Now h-b= 42
210-b =42
b= 210-42= 168m
Area = b*h/2
A= 168*126/2
A= 10584 m2
a=126m ,b=168m and c= 210m
s= a+b+c/2 = 126+168+210/2 = 504/2=252m
A = √s(s-a)(s-b)(s-c)
A= √252.(252-126)(252-168)(252-210)
A= √252*126*84*42
A= 10584m2
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