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