Question

outer dia of tank = 120 cm , thickness of tank = 10 cm, height = 400 cm, how much ltts can it hold?​

Answer 1

Appropriate Question:-

Outer diameter of cylindrical btank is 120 cm, it's thickness of tank is 10 cm and height is 400 cm, how much lt can it hold?

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Given:-

• Outer diameter of tank {D} = 120 cm

• Thickness of tank = 10 cm

• Height of tank {h} = 400 cm

To Find:-

• It's Volume

Formula Used:-

• ${\boxed{\bf{Volume\:of\:hollow\: Cylinder=\pi h(R^2-r^2)}}}$

• ${\boxed{\bf{Inner\: Radius=Outer\:Radius\:-\:Thickness}}}$

Solution:-

Let the outer Radius be R and inner radius be r.

$\sf :\implies\:R=\dfrac{Diameter}{2}$

$\sf :\implies\:R=\dfrac{120}{2}$

$\bf :\implies\:R=60\:cm$

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$\sf :\implies\:r=R\:-\: Thickness$

$\sf :\implies\:r=60-10$

$\bf :\implies\:r=50\:cm$

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Now,

$\sf :\implies\:Volume\:of\:tank=\pi h(R^2-r^2)$

$\sf :\implies\:Volume\:of\:tank=\dfrac{22}{7}\times 400 (60^2-50^2)$

$\sf :\implies\:Volume\:of\:tank=\dfrac{22}{7}\times 400 (3600-2500)$

$\sf :\implies\:Volume\:of\:tank=\dfrac{22}{7}\times 400 \times 1100$

$\bf :\implies\:Volume\:of\:tank=\dfrac{9680000}{7}cm^3$

or,

$\bf :\implies\:Volume\:of\:tank=1382857.14\:cm^3$

Hence, The Volume of tank is 96,80,000/7cm³ or 1382857.14cm³.

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Answer 2

Given:-

• Outer diameter = 120 cm

• Thickness = 10 cm

• Height = 400 cm

To Find:-

• It's Volume

Solution:-

• ${{R=\dfrac{Diameter}{2}}}$

• ${{R=\dfrac{120}{2}}}$

• ${{R=60cm}}$

And,

• ${{r=60-10}}$

• ${{r=50cm}}$

Now,

${{Volume=\pi h(R^2-r^2)}}$

${{Volume=\dfrac{22}{7}\times 400 (60^2-50^2)}}$

${{Volume=\dfrac{22}{7}\times 400 (3600-2500)}}$

${{Volume=\dfrac{22}{7}\times 400 \times 1100}}$

${\boxed{{Volume=\dfrac{9680000}{7}cm^3}}}$

Hence, The Volume of tank is 96,80,000/7cm³.

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