letrujillo6141
contestada

The volume of a cylinder is 2,200π cubic inches. The diameter of the circular base is 10 inches. what is the height of the cylinder?

- 22 inches
- 88 inches
- 220 inches
- 440 inches

Respuesta :

if the diameter of the cylinder's base is 10, then the radius is half that, or 5.

[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h\qquad \begin{cases} r=radius\\ h=height\\ ------\\ r=5\\ V=2200\pi \end{cases}\implies 2200\pi =\pi (5)^2h \\\\\\ \cfrac{2200\pi }{\pi (5)^2}=h\implies \cfrac{2200}{25}=h\implies 88=h[/tex]

Height of the cylinder is equals to 88inches.

What is volume?

"Volume is defined as total amount of space occupied by any three dimensional object enclosed in it."

Formula used

Volume of the cylinder = πr²h

r = radius of the cylinder

h = height of the cylinder

radius = diameter / 2

According to the question,

Given,

Volume of the cylinder = 2,200π cubic inches

Diameter of the cylinder circular base = 10inches

Substitute the values in the formula we get,

Radius = (10 / 2)

           = 5inches

Substitute the value in the volume formula we have,

2200π  = π × ( 5 )² × h

⇒2200π = 25π × h

⇒h = (2200π / 25π)

⇒ h = 88inches

Hence, height of the cylinder is equals to 88inches.

Learn more about volume here

https://brainly.com/question/2098026

#SPJ2

         

Otras preguntas