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A cone has a height of 8 yards and a radius of 3 yards. What is its volume?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

cubic yards
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Sagot :

Given:

  • h= 8 yd
  • r= 3 yd

Note that:

  • h= Height
  • r= Radius

To find:

The volume of the given cone.

Solution:

[tex]\large\boxed{Formula:V= \frac{1}{3}\pi{r}^{2}h}[/tex]

[tex]\large\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}[/tex]

Let's solve!

Substitute the values according to the formula.

[tex]V= \frac{1}{3}×3.14×{3}^{2}×8[/tex]

[tex]\large\boxed{V= 75.36 \: {yd}^{3}}[/tex]

Therefore, the volume of the given cone is 75.36 cubic yards.

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