Question

find the capacity of cylinder water tank in liters whose radius is 7m meters and height is 2m​

Answer 1

Given: The radius of cylinder is 7m and the height of cylinder is 2m.

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Need to find: The capacity of cylinder water tank in liters

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We know that if we are given with the radius of cylinder and the height of cylinder, we have the required formula, that is,

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$\sf{:\implies Volume_{(cylinder)} = \pi {r}^{2}h}$

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⠀⠀⠀⠀ Here the value of π is 22/7, r is the radius of cylinder and h is the height of cylinder. And here in this question we have r = 7m and h = 2m. So, by using the required formula we can find volume or capacity of cylinder water tank.

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By using the required formula and substituting all the given values in the formula, we get:

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$\sf{:\implies Volume_{(cylinder)} = \dfrac{22}{7} \times {(7)}^{2} \times 2} \\ \\ \\ \sf{:\implies Volume_{(cylinder)} = \frac{22}{ \cancel{ \: 7 \: }} \times \cancel{ \: 7 \: } \times 7 \times 2} \\ \\ \\ \sf{:\implies Volume_{(cylinder)} = 22 \times 7 \times 2} \\ \\ \\ \sf{:\implies Volume_{(cylinder)} = 154 \times 2} \\ \\ \\ \sf{:\implies \boxed{ \frak{ \red{Volume_{(cylinder)} = 308}}}}$

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Now,

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$\underline{\bf{\dag \: }\frak{ \: As \: we \: know \: that \: :}}$

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→ 1 cubic m = 1000 l

→ 308 cubic m = 1000 × 308

→ 308 cubic m = 308000 l.

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∴ The capacity of cylinder water tank in liters is 308000 liters.

Answer 2

$\begin{gathered}\begin{gathered}\sf Given -  \begin{cases} &\sf The\:redius \:of\:the\:cylinder \:is\:= \frak{7\:m}\\ & \sf Height \:of\: cylinder \:is \:=\:\frak{2\: m} \end{cases}\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\sf To \:  Find -   \begin{cases} &\sf The\: capacity \:of \:cylinder \:water\: tank \end{cases}\end{gathered}\end{gathered}$

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❍We know that:-

$\dag\;\boxed{\frak{\pink{Volume _{\:(Cylinder )} = πr^2h}}}$

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$\underline{\bf{\dag} \:\mathfrak{Substituting\; Values\; :}}$⠀⠀⠀

$\sf{:\implies Volume= \dfrac{22}{7} \times {(7)}^{2} \times 2}$

$\sf{:\implies Volume = \dfrac{22}{7} \times 49 \times 2}$

$\sf{:\implies Volume= 22 \times 7 \times 2}$

$\sf{:\implies Volume_= 154 \times 2}$

$\sf{:\implies Volume= 308\:{cm}^{3}}$

$:\implies \underline{ \boxed{\sf Volume = 308000\: liters}}$

$\underline{\star {\mathrm{\purple { The \: capacity \:of\:the \:cylinder \:is\: =308000 \: liters }}}}$

$\large { \boxed {\mathrm |\:\:{\underline {More \:To\:Know\:-:}}\:\:|}}$

• Volume of cylinder = πr²h
• T.S.A of cylinder = 2πrh + 2πr²
• Volume of cone = ⅓ πr²h
• C.S.A of cone = πrl
• T.S.A of cone = πrl + πr²
• Volume of cuboid = l × b × h
• C.S.A of cuboid = 2(l + b)h
• T.S.A of cuboid = 2(lb + bh + lh)
• C.S.A of cube = 4a²
• T.S.A of cube = 6a²
• Volume of cube = a³
• Volume of sphere = 4/3πr³
• Surface area of sphere = 4πr²
• Volume of hemisphere = ⅔ πr³
• C.S.A of hemisphere = 2πr²
• T.S.A of hemisphere = 3πr²

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