Question

calculate the radius of the base of a cylindrical container of volume (220mcube) the height of a cylindrical container is 70m​

Answer 1

$\huge\sf\pink{Answer}$

☞ Radius of the container is 1 cm

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$\huge\sf\blue{Given}$

➝ Volume = 220 m³

➝ Height = 70 m

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$\huge\sf\gray{To \: Find}$

✭ Radius othe base of the cylindrical container?

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$\huge\sf\purple{Steps}$

❍ So volume of Cylinder is given by,

$\underline{\boxed{\sf {\green{Volume \: of \: Cylinder = \pi r^2h}}}}$

$\normalsize\twoheadrightarrow\sf\ 220 = \dfrac{22}{7} \times\ (r)^{2} \times\ 70$

$\normalsize\twoheadrightarrow\sf\ 220 = \dfrac{22}{{7}} \times\ (r)^{2} \times {70}$

$\normalsize\twoheadrightarrow\sf\ 220 = 22\times\ (r)^{2} \times\ 10$

$\normalsize\twoheadrightarrow\sf\ 220 = 220 \times\ (r)^{2}$

$\normalsize\twoheadrightarrow\sf\ r^{2} = \dfrac{{220}}{{220}}$

$\normalsize\twoheadrightarrow\sf\ (r)^{2} = 1$

$\normalsize\twoheadrightarrow\sf\ r = \sqrt{1}$

$\normalsize\twoheadrightarrow\sf\ r = 1$

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Answer 2

In the above Question , we have been provided the following information -

The volume of the given cylindrical container is 200 m³ .

The height of the cylindrical container is 70 m .

To find -

We have to find the radius of the base of the cylinder .

We know the following information -

Volume Of Any Cylinder -

π r²h

Where ,

r is the radius of the cylinder.

h the height of the cylinder.

Now , substituting the given value -

( 22 / 7 ) × 70 × r² = 220

=> 220 r² = 220

=> r² = 1

=> r = 1 metres .

Hence , the required radius is 1 m

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