Question

Awell with 7 m diameter is dug 18 m deep. The earth taken out of it has been evenly spread all around
to a width of 10.5 m to form an embankment. Find the height of the embankment
full solution​

Answer 1

Answer:

Solution

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Volume of the earth=πr  

2

H where H is the depth of the well.

=  

7

22

​

×3.5  

2

×22.5

=866.25cubic metre.

This earth is used to make the embankment.

Volume of earth(embankment)=πR  

2

H−πr  

2

h

⇒  

7

22

​

×(10.5+3.5)  

2

h−  

7

22

​

×(3.5)  

2

h=866.25

⇒  

7

22

​

×14×14h−  

7

22

​

×3.5×3.5h=866.25

⇒616h−38.5h=866.25 on simplification

⇒577.5h=866.25

⇒h=  

577.5

866.25

​

=1.5m

∴ The height of embankment=1.5m

Step-by-step explanation: