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the volume of a cylinder is 225pi cm cubed and its height is 9 cm what is the length of the cylinders radius

Respuesta :

dexteright02
Data: (Cylinder)
h (height) = 9 cm
r (radius) = ? (cm)
V (volume) = [tex]225\:\pi cm^3[/tex]

Formula:(Cylinder volume)
[tex]V = h* \pi *r^2[/tex]

Solving:
[tex]V = h* \pi *r^2[/tex]
[tex]225 \pi = 9* \pi*r^2[/tex]
[tex]r^2 = \frac{225 \diagup\!\!\!\!\pi }{9 \diagup\!\!\!\!\pi } [/tex]
[tex]r^2 = 25[/tex]
[tex]r = \sqrt{25} [/tex]
[tex]\boxed{\boxed{r = 5\:cm}}\end{array}}\qquad\quad\checkmark [/tex]

Answer:
The length of the cylinder radius is 5 cm

Thus, the length of the radius of the cylinder is 5 cm.

Mensuration

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Cylinder

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

Given

The volume of a cylinder is 225π cm cubed and

Its height is 9 cm.

To find

The length of the radius of the cylinder.

How to find The length of the radius of the cylinder?

The volume of a cylinder is 225π cm cubed and

Its height is 9 cm.

Then by volume formula,

[tex]\begin{aligned} \rm Volume\ of\ cylinder &= \rm \pi r^{2} h\\225\pi &= \pi r^{2} *9\\r^{2} &= 25\\r &= 5\\\end{aligned}[/tex]

Thus, the length of the radius of the cylinder is 5 cm.

More about the mensuration link is given below.

https://brainly.com/question/3692256

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