Question

I need help.!!!!!!!!!☹️

Answer 1

`r \approx8`

yards

EXPLANATION

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

`V= (1)/(3) \pi \: {r}^(2) h`

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,

`803.84= (1)/(3) (3.14) \: {r}^(2) * 12`

`803.84= 12.56 {r}^(2)`

Divide through by 12.56

`(803.84)/(12.56) = {r}^(2)`

`{r}^(2) = 64`

`r = √(64)`

`r = 8yds`

Answer 2

Answer: 8 yards

Explanation:

The formula for calculate the volume of a cone is:

`V=(1)/(3)r^2h\pi`

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:

`803.84=(r^2(12)(3.14))/(3)\\803.84=12.56r^2\\r=\sqrt{(803.84)/(12.56)}\\r=8yards`