Question

find the volume of cylinder water tank whose diameter is 7 m and it's height is 28 m​

Answer 1

Given:

• Diameter of cylindrical water tank, d = 7 m
• Radius of cylindrical water tank, r = 7/2 = 3.5 m
• Height of cylindrical water tank, h = 28 m

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To find:

• Volume of cylindrical water tank?

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Solution:

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$\setlength{\unitlength}{1.2mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(16,2)(0,32){2}{\sf{3.5 m}}\put(15,17.5){\sf{28 m}}\end{picture}$

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$\dag\;{\underline{\frak{As\;we\;know\;that,}}}$

$\star\;{\boxed{\sf{\pink{Volume_{\;(cylinder)} = \pi r^2 h}}}}$

$\sf Here \begin{cases} & \sf{Radius,\;r = \bf{3.5\;m}} \\ & \sf{Height\;, = \bf{28\;m}} \end{cases}$

$:\implies\sf Volume_{\;(cylinder)} = \dfrac{22}{ \cancel{7}} \times \cancel{3.5} \times 3.5 \times 28$

$:\implies\sf Volume_{\;(cylinder)} = 22 \times 0.5 \times 3.5 \times 28$

$:\implies\sf Volume_{\;(cylinder)} = 22 \times 28 \times 1.75$

$:\implies{\underline{\boxed{\frak{\purple{Volume_{\;(cylinder)} = 1078\;m^3}}}}}\;\bigstar$

$\therefore\;{\underline{\sf{Hence,\;Volume\;of\;cylindrical\;water\;tank\;is\; \bf{1078\;m^3}.}}}$

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$\qquad\qquad\boxed{\underline{\underline{\pink{\bigstar \: \bf\:More\:to\:know\:\bigstar}}}}$

• Curved surface area of cylinder = 2πrh

• Total surface area of cylinder = 2πr(h + r)

• Volume of cylinder = πr²h

• Curved surface area of cone = πrl

• Total surface area of cone = πr(l + r)

• Volume of cone = 1/3 πr²h

Answer 2

Answer:

Given :-

• A cylindrical water tank whose diameter is 7 m and its height is 28 m.

To Find :-

• What is the volume of cylindrical water tank.

Formula Used :-

$\boxed{\bold{\large{Volume\: of\: Cylinder\: =\: {\pi}{r}^{2}h}}}$

Solution :-

Given :

• Diameter = 7 m
• Height = 28 m

First, we have to find the radius,

We know that,

❖ Radius = $\dfrac{Diameter}{2}$

➟ Radius = $\dfrac{7}{2}$

➠ Radius = 3.5 m

Hence, radius is 3.5 m

Now, we have to find the volume of cylinder,

⇒ Volume = $\dfrac{22}{7} \times (3.5)² \times 28$

⇒ Volume = $\dfrac{22}{7} \times 3.5 \times 3.5 \times 28$

⇒ Volume = $\dfrac{22}{7} \times 12.25 \times 28$

⇒ Volume = $\dfrac{7546}{7}$

⇒ Volume = $\sf\dfrac{\cancel{7546}}{\cancel{7}}$

➥ Volume = 1078 m³

$\therefore$ The volume of cylindrical water tank is 1078 m³ .