Respuesta :

The radius of the given cylinder of volume 847π yds³ and height of 7 yards is 11 yards

Calculating the volume of a cylinder

From the question, we are to calculate the radius of the cylinder

The volume of a cylinder is given by the formula,

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

Where V is the volume

r is the radius

and h is the height

From the given information,

V = 847π yds³

h = 7 yds

Putting the parameters into the equation, we get

[tex]847\pi = \pi r^{2} \times 7[/tex]

[tex]7r^{2} = 847[/tex]

[tex]r^{2} = \frac{847}{7}[/tex]

[tex]r^{2} = 121[/tex]

[tex]r =\sqrt{121}[/tex]

r = 11 yards

Hence, the radius of the given cylinder is 11 yards.

Learn more on Calculating volume of a cylinder here: https://brainly.com/question/27140000

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