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Sidana [21]
3 years ago
7

I need help.!!!!!!!!!☹️

Mathematics
2 answers:
alexdok [17]3 years ago
8 0

Answer: 8 yards

Step-by-step explanation:

The formula for calculate the volume of a cone is:

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

bekas [8.4K]3 years ago
8 0

ANSWER

r  \approx8

yards

EXPLANATION

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

V= \frac{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= \frac{1}{3} (3.14) \:  {r}^{2}  \times 12

803.84= 12.56 {r}^{2}

Divide through by 12.56

\frac{803.84}{12.56}  =  {r}^{2}

{r}^{2}  = 64

r =  \sqrt{64}

r = 8yds

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