xxhighwolfxx4176 xxhighwolfxx4176
  • 29-04-2019
  • Mathematics
contestada

Find the volume, to the nearest m3, of a cylinder with diameter 6 m and height 8 m.
a.226 m3 c.207 m3 b.452 m3 d.151 m3

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 09-05-2019

ANSWER

a. 226m³

EXPLANATION

The volume of a cylinder is calculated using the formula:

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

where r is the radius and h=8m is the height of the cylinder.

The radius is half of the diameter.

This means that:

[tex]r = \frac{d}{2} = \frac{6}{2} = 3m[/tex]

We plug in the values into the formula to get:

[tex]Volume=\pi \times {3}^{2} \times 8[/tex]

[tex]Volume=72\pi[/tex]

[tex]Volume=226.19 {m}^{3} [/tex]

To the nearest cubic meters, the volume is 226 m³.

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