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a tower has a cone - shaped attic. the diameter of the attic is 18 ft a…

Question

a tower has a cone - shaped attic. the diameter of the attic is 18 ft and its height is 18 ft.
what is the volume of the space in the attic?
enter your answer as a decimal in the box. use 3.14 for pi.
ft³

Explanation:

Step1: Find the radius

The diameter \(d = 18\) ft. The radius \(r=\frac{d}{2}\), so \(r=\frac{18}{2}=9\) ft.

Step2: Use the cone - volume formula

The volume formula for a cone is \(V=\frac{1}{3}\pi r^{2}h\). Substitute \(r = 9\) ft, \(h = 18\) ft, and \(\pi=3.14\) into the formula.

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Answer:

\(1526.04\)