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The volume of a cylinder is 282.6 cubic yards. The radius measures 3 yards. What is the height of the cylinder rounded to the nearest yard? Use 3.14 for π. PLEASE HELP WANTED TTYY!!!

User Aliirz
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1 Answer

4 votes

Answer:

10 yards

Explanation:

You want the height of a cylinder of radius 3 yards that has a volume of 282.6 cubic yards, using pi = 3.14.

Volume

The volume of a cylinder is given by ...

V = πr²h

Using the given values, this is ...

282.6 yd³ = 3.14(3 yd)²·h = 28.26h yd²

Dividing by the coefficient of h, we find it to be ...

h = (282.6 yd³)/(28.26 yd²) = 10 yd

The height of the cylinder is 10 yards.

User Josh Bode
by
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