Question

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

Answer 1

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)* Height`

Substituting the given values in formula we get

Answer:

Diameter of a Cylinder is 10 in.

Explanation:

`628=3.14* (Radius)^(2)* 8\\\\\therefore (Radius)^(2)=(628)/(3.14* 8)=25\\ \\\therefore (Radius)^(2)=25\\Square\ Rooting\ we\ get\\Radius=√(25)=5\ in`

Now Diameter is Twice of Radius

`Diameter =2* Radius = 2* 5=10\ in\\\\\therefore Diameter =10\ in`

Diameter of a Cylinder is 10 in.