[tex]\underline{\underline{\red{\huge\sf ✨question✨ }}{}}[/tex]
A well of diameter 3 m is dug 14 m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 4 m to form an embankment. Find the height of the embankment.
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Answer:
Volume of well = Volume of embankment
[tex] \orange{\pi {r}^{2} l = \pi( {a}^{2} - {r}^{2} )h}[/tex]
[tex] \frac{9}{4} \times 14 = (5.5 + 1.5)(5.5 - 1.5) \times h[/tex]
[tex] \frac{9}{4} \times 14 = 7 \times 4 \times h \\ \frac{9}{4} = 2 \times h[/tex]
[tex]h = \frac{9}{8} [/tex]
[tex] \underbrace \red{h = 1.125m}[/tex]
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