frcaitlyn12 frcaitlyn12
  • 27-01-2021
  • Mathematics
contestada

What is the radius of a cylinder with a volume of 1650
cubic feet and a height of 10 feet?

Respuesta :

absor201
absor201 absor201
  • 28-01-2021

Answer:

The radius of cylinder = 7.428 feet

Step-by-step explanation:

Volume of cylinder = 1650 cubic feet

Height = 10 feet

We need to find radius of cylinder

The formula used is: [tex]Volume=\pi r^2h[/tex]

Putting values and finding radius

[tex]Volume=\pi r^2h\\1650=3.14\times r^2 \times 10\\1650=31.4\times r^2\\r^2=\frac{1650}{31.4}\\r^2=52.547\\Now,\:taking\:square\:root\:on\:both\:sides\\\sqrt{r^2}=\sqrt{52.547}\\r= 7.248\:feet[/tex]

So, the radius of cylinder = 7.428 feet

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