Question

answer this question plz ​

Answer 1

Answer :-

Height = 30 cm

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Given :-

• Height and radius ratio = 10 : 7

• Volume of Cylinder = 41580 cm³

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To Find :-

• To Find the length of Height

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Step By Step Solution :-

As we Know,

=> Volume of Cylinder = πr²h = 41580 cm³

Let us take Height = 10x and Radius = 7x

Now,

We will calculate the value of X.

$= > \cfrac{22}{ \cancel7} \times \cancel7 x \times 7x \times 10x = 41580 \\ \\ = > 22 \times x \times 7x \times 10x = 41580\\ \\ = > 22 \times 70 {x}^{3} = 41580 \\ \\ = > 70 {x}^{3} = \cancel \cfrac {41580}{22} \\ \\ = > 70 {x}^{3} = 1890 \\ \\ = > {x}^{3} = \cancel\cfrac{1890}{70} \\ \\ = > {x}^{3} = 27 \\ \\ = > x = \sqrt[3]{27} \\ \\ = > x = 3$

X = 3

Now Height = 10x

Height = 10 × 3

Height = 30 cm

Hence Height = 30 cm

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