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The volume of a cylinder is 63pi cubic inches. Its height is 7 inches. Find the radius of the ball. Round your
answer to the nearest tenth. Show every step in an organized fashion.

The Volume Of A Cylinder Is 63pi Cubic Inches Its Height Is 7 Inches Find The Radius Of The Ball Round Your Answer To The Nearest Tenth Show Every Step In An O class=

Sagot :

Answer:

3 (or 3.0)

Step-by-step explanation:

The formula for the volume of a cylinder is [tex]v=\pi r^2h[/tex] where [tex]v[/tex] is the volume, [tex]r[/tex] is the radius, and [tex]h[/tex] is the height. We know the height is 7 inches and the volume of 63pi cubic inches, so plugging in gives:

[tex]63\pi=\pi r^2\cdot 7[/tex].

Dividing by [tex]7\pi[/tex] on both sides gives

[tex]r^2=9[/tex],

and simplifying and taking the positive root leaves [tex]r=3[/tex].

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