toriembradshaw toriembradshaw
  • 25-05-2022
  • Mathematics
contestada

A cylinder has a base diameter of 12 inches and a height of 13 inches. What is its volume in cubic inches, to the nearest tenths place?

Respuesta :

Аноним Аноним
  • 25-05-2022

Given:

  • Diameter= 12 in
  • Height= 13 in

To find:

The volume of the given cylinder.

Solution:

First, we'll have to find the raduis.

[tex]d = 2r [/tex]

[tex]r = \frac{12}{2} [/tex]

[tex]r = 6 \: in [/tex]

Now, we can work out the volume.

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

[tex]V = \pi \times {6}^{2} \times 13[/tex]

[tex]V = 1470.26536 \: {in}^{3} [/tex]

[tex]\large\boxed{\sf{V = 1470.3 \: {in}^{3}}}[/tex]

Hence, the volume of the given cylinder is 1470.3 cubic inches.

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