Question

b) Observe the pattern given below. Identify the constants and the variab general rule for the number of squares in the pattern.
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Answer 1

Answer:

Step-by-step explanation:

$\huge{\sf{Required \ Answer}}$

We need to find the height of the embankment. For this we need the volume of the well ie the dug soil for well, and some concepts.

Volume of Cylinder = $\sf{\pi \times r^2 \times h}$

Given, 10 m as diameter.

So, radius will be 10/2 = 5 metre.

Volume of Well = $\sf{\dfrac{22}{7} \times (25)^2 \times 14}$

Volume of Well = 1100 m³.

Now, we need to find the height of embankment.

So, here the width 5 metre should be added with radius if well, so that we can get the bigger Radius.

= 5+5

= 10 metre.

Now, volume will be the same or 1100 m³, same soil is displaced.

1100 = $\sf{\dfrac{22}{7} \times ((10)^2-(5)^2)\times h}$

h = $\sf{\dfrac{22}{7} \times 85 \times \dfrac{1}{1100}}$

Calculating, we get h as 4.66 metres (approximately).