Respuesta :

carlosego

Answer: 8 yards

Step-by-step explanation:

The formula for calculate the volume of a cone is:

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

Where r is the radius and h is the height.

Given thevolume and the height of the cone, you can solve for the radius, as you can see below:

[tex]803.84=\frac{r^2(12)(3.14)}{3}\\803.84=12.56r^2\\r=\sqrt{\frac{803.84}{12.56}}\\r=8yards[/tex]

kudzordzifrancis

ANSWER

[tex]r \approx8[/tex]

yards

EXPLANATION

The formula for calculating the volume of a cone is given by:

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

The height of the given cone is 12yds.

The volume is 803.84 cubic yards.

We substitute the given values and π=3.14 into the equation to get,

[tex]803.84= \frac{1}{3} (3.14) \: {r}^{2} \times 12[/tex]

[tex]803.84= 12.56 {r}^{2} [/tex]

Divide through by 12.56

[tex] \frac{803.84}{12.56} = {r}^{2} [/tex]

[tex] {r}^{2} = 64[/tex]

[tex]r = \sqrt{64} [/tex]

[tex]r = 8yds[/tex]

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