taylor8351093 taylor8351093
  • 01-06-2022
  • Mathematics
contestada

A cylinder has a diameter of 10 inches in the height four times the radius what is the volume

Respuesta :

aklee18oo
aklee18oo aklee18oo
  • 01-06-2022

Answer:

500π in^3

Step-by-step explanation:

The radius is half the diameter, so the radius is 5 in. Since the height is four times that, the height is 20 in.

The equation for the volume of a cylinder is:

[tex]V = \pi r^{2}h[/tex]

We can plug in the radius and height:

[tex]V = \pi \times (5)^{2} \times 20\\V = \pi \times 25 \times 20\\V = 500\pi in^{3}[/tex]

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