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Sushmit Kammili

· started a discussion

· 1 Months ago

pls explain in detail

Question:

A rectangular pool is 48 m long and 20 m wide. The shallow edge of the pool is 1 m deep. For every 2.6 m that one walks up the inclined base of the swimming pool; one gains an elevation of 1 m. What is the volume of water (cube metres), in the swimming pool? Assume that the pool is filled upto the brim.

Options:
A)

528 m3

B)

960 m3

C)

6790 m3

D)

10560 m3

Solution:

Ans: (d)

  

ajinkya rukmangad

· commented

· 1 Months ago

thank you shashank.. :-)

Shashank Shah

· commented

· 1 Months ago

Required volume = Volume of triangular wedge + volume of cuboid
for volume of wedge= Area of triangle x 20(width of pool)
area of triangle= 1/2 x b xh
here b= 48 m
now we have to calculate only h
given: Slope(m)=tan θ
for tan θ, first find sin θ=10/2.6=5/13
therefore tan θ=5/12
now for big triangle, tan θ= h/48
thus h=20
Now do the rest of the calculation to get the result


Hpoe you get it

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