Question

How many cubic meters of soil must be dug out to make a well 20m deep and 2 m in diameter?

Answer 1

$depth \: or \: height \: the \: well = 20m \\ diameter \: of \: well = 2m \\ so \: \: radius \: = \frac{2}{2} \: = 1m \\ \\ we \: need \: to \: find \: the \: volume \: of \: \\ well \: so \: that \: we \: can \: find \: the \: soil \: \\ which \: dug \: from \: the \: well. \\ \\ volume \: of \: the \: well \: or \: cylindrical \: well = \pi {r}^{2}h \\ = \frac{22}{7} \times {1}^{2} \times 20 \\ = \frac{440}{7} {cm}^{3} \\ so \: \: 62.8571429 \: cm {}^{3} \: must \: be \: dug \: out \: to \: make \: the \: well$
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