Math, asked by ramanujjha50, 8 months ago

A water tank is cylindrical in shape and diameter of its base is 28m. If it is 7m deep, how many kilometres of water can it hold? ​

Answers

Answered by alijimshu
2

The answer is 4312 m^3

volume of cylinder = pie ×r×r×h

diameter = 28m

radius = 14m

height = 6m

volume = 22/7×14×14×7

=22×14×14

= 4312m^3

Answered by sonisiddharth751
5

\large\bf\underline\red{Question } \\  \\  \tt \: A  \: water  \: tank  \: is \:  cylindrical  \: in  \:  \\  \tt \: shape \:  and  \: diameter  \: of \:  its  \:    \tt \:  base  \\  \tt \:  is  \: 28m \: .  \: If  \: it  \: is  \: 7m \:  deep, \:    \tt \:  how \:  \\  \tt many \:  kilolitres \:  of \:    \tt \:  water   \\  \tt \: can  \: it  \: hold \: ?  \\  \\  \\ \large\bf\underline\red{we \: have } \:  \\  \\  \blue \star \:  \sf \: diameter \: of \: the \: base = 28 \: m \\  \therefore \sf \: radius \:  =  \frac{ \cancel{28}}{ \cancel2}  = 14m \\  \\   \blue \star \:  \sf \: depth \: (height) \: of \: tank \:  = 7m \\  \\  \\ \large\bf\underline\red{to \: find}  \\  \\ ❝   \sf \: how \: many \: kilolitres \: of \: water \: can  \\ \sf \:  tank \: hold \: with \: radius \: 14m \: and \:  \\  \sf \: height \: 7m \: ❞ \\  \\  \\ \large\bf\underline\red{formula \: used }  \\   \fbox\blue{ volume \: of \: cylinder =πr²h } \\  \\  \\ \large\bf\underline\red{solution } \\  \\  \sf \: \pi {r}^{2} h \:  =  \frac{22}{7}  \times 14 \times 14 \times 7 \\  \\  \:  \sf \:  \frac{22}{ \cancel7}  \times 14 \times 14 \times \cancel 7 \\  \\  \sf \: 22 \times 14 \times 14 \\  \\ \fbox\blue{ 4312m³} \\  \\  \\  \bf \: as \: we \: know \: that \:  : \\  \\  \sf \: 1kl \:  = 1000l \\  \\  \sf \: 1 {m}^{3}  = 1000l \\  \\  \sf \: 1 {m}^{3}  = 1kl \\  \\  \bf\: so \: the \: tank \: hold \: kilolitres \: of \:  \\  \bf \: water \: ➠ \: ➠ \large{\boxed{\mathbb\red{\fcolorbox{magenta}{aqua}{4312 \: kl}}}} \\  \\

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