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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

Verified Answer :

dexteright02

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

Formula:(Cylinder volume)
\(V = h* \pi *r^2\)

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

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,

\(\begin{aligned} \rm Volume\ of\ cylinder &= \rm \pi r^{2} h\\225\pi &= \pi r^{2} *9\\r^{2} &= 25\\r &= 5\\\end{aligned}\)

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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