Question

The sum of the base and height of solid cylinder is 37m if the totalsurface area of cyli







nder is 1628msq find volume

Answer 1

$let \: radius \: be \: r \: and \: height \: be \: h \\ \\ but \: the \: sum \: of \: radius \: and \: height \: is \: 37m \\ \\ total \: surface \: area \: of \: cylinder = 1628 {m}^{2} \\ = > 2\pi \: r(r + h) = 1628 \\ \\ = > 2 \times \frac{22}{7} \times r(37) = 1628 \\ \\ = > r = \frac{1628 \times 7}{44 \times 37} \\ \\ = > r = 7m \\ \\ so \: \: radius \: is \: 7m \\ then \: height = \\ = > r + h = 37 \\ = > 7 + h = 37 \\ = > h = 37 - 7 \\ = > h = 30m \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: acc. \: to \: ques. - - \\ volume \: of \: cylinder = \pi \: {r}^{2}h \\ = \frac{22}{7} \times 7 \times 7 \times 30 \\ \\ = 4620 {m}^{3}$
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