Mathematics: What is the diameter of a cylinder with a volume of 628 in and a height of 8 in?

I dont have tik tokStep-by-step explanation:...

What is the diameter of a cylinder with a volume of

Ответ:

isamilo520

12.01.2022

Mathematics

Given:

Height of Cylinder = 8 in

Volume of the cylinder = 628 in³

pi = 3.14

To Find:

Diameter of a Cylinder = ?

Solution:

We know that

$\textrm{Volume of a Cylinder}=\pi (Radius)^{2}\times Height$

Substituting the given values in formula we get

Diameter of a Cylinder is 10 in.

Step-by-step explanation:

$628=3.14\times (Radius)^{2}\times 8\\\\\therefore (Radius)^{2}=\frac{628}{3.14\times 8}=25\\ \\\therefore (Radius)^{2}=25\\Square\ Rooting\ we\ get\\Radius=\sqrt{25}=5\ in$

Now Diameter is Twice of Radius

$Diameter =2\times Radius = 2\times 5=10\ in\\\\\therefore Diameter =10\ in$

Diameter of a Cylinder is 10 in.

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What is the diameter of a cylinder with a volume of 628 in and a height of 8 in?

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