Math, asked by Tayyaba263, 4 months ago

plx help me with explain plzz​

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Answered by muneebatanveer
1

Answer:

volume =mass/density

Step-by-step explanation:

now try it to solve yourself hope you could do this genuis


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Answered by Intelligentcat
16

To Find :-

  • Volume of the Cylinder .

Given :-

  • Diameter of the base of cylinder = 18cm

  • Height of the Cylinder = 2.5 × r .

Formula Information :-

Volume of a Cylinder :-

\bf{\underline{V = \pi r^{2}h}}

Where :-

r = Radius of the cylinder

h = Height of the cylinder

According to the Question :

Have to find the radius of the base of the cylinder first.

We Know that ,

\Rightarrow \bf{Radius = \dfrac{Diameter}{2}}

Given , Diameter = 18 cm.

Putting the value in the diameter , we get :

\implies \bf{Radius = \dfrac{Diameter}{2}} \\ \\  \implies \bf{Radius = \dfrac{18}{2}} \\ \\ \implies \bf{Radius = 9 cm}

Hence the Radius of the Cylinder is 9 cm.

Now, It is also said that in the question that ' the height of the base area is 2.5 times of radius '.

Height → 2.5 \:  \times  \: 9 \\  \\ 22.5 \:cm

Solution :-

Given :-

  • Radius = 9 cm

  • Height = 22.5 cm

  • The value of π is taken as 22/7 , if the value is not mentioned in the question.

Now , using the formula for volume of a Cylinder and Substituting the values in it ,we get :

\bf{V = \pi r^{2}h} \\ \\ \\ \implies \bf{V = \dfrac{22}{7} \times 9^{2} \times 22.5} \\ \\ \\ \implies \bf{V = \times \dfrac{198}{7} \times 9 \times 22.5} \\ \\ \\ \implies \bf{V = \dfrac{198}{7} \times 202.5} \\ \\ \\ \implies \bf{\dfrac{400950}{70} = V} \\ \\ \\ \implies \bf{5727.85 cm^{3} = V} \\ \\ \\ \therefore \purple{\bf{V = 5727.85 cm^{3}}}

Hence, the Volume of the Cylinder is 5725.85 cm³


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