Question

Find the depth of cylindrical water tank whose capacity is 1078 m3 and the radius of base is 7 m.
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Answer 1

Answer: 7

Step-by-step explanation:

Volume of cylinder = (22/7) r^2 * height

= (22/7)*49*h

1078 = 22 * 7* h

7 = h

Answer 2

${ \rm{ \large \underline{given}}}$

${ \rm{the \: volume \: of \: cylinder = 1078 {m}^{3} }}$

${ \rm{and \: radius = 7m}}$

${ \rm{ \large \underline {to \: find}}}$

${ \rm{the \: height \: of \: the \: cylinder}}$

${ \rm{ \large \underline{solution}}}$

${ \rm{ \therefore volume = 1078}}$

${ \rm{ \implies \pi {r}^{2} h = 1078}}$

${ \rm{ \implies \frac{22}{7} \times 7 \times h = 1078}}$

${ \rm{ \implies 22 \times h = 1078}}$

${ \rm{ \implies h \: = \frac{1078}{22} }}$

${ \rm{ \implies h = 49 \: m}}$

${ \rm{ \large{so \: the \: hegiht \: is \: 49 \: m}}}$