Question

question 11(multiple choice worth 4 points)
(05.02 mc)
a cone has a radius of 7 m and a height of 27 m. what is the volume of the cone in terms of π?
o 189π m³
o 441π m³
o 661π m³
o 1323π m³

Explanation:

Step1: Recall the volume formula for a cone

The volume formula for a cone is \(V=\frac{1}{3}\pi r^{2}h\), where \(r\) is the radius and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(r = 7m\) and \(h=27m\). Substitute into \(V=\frac{1}{3}\pi r^{2}h\):

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Step3: Simplify the expression

First, calculate \(\frac{1}{3}\times27 = 9\). Then \(V=9\times49\pi\). Since \(9\times49 = 441\), we have \(V = 441\pi m^{3}\)

Answer:

\(441\pi m^{3}\) (corresponding to the option \(441\pi m^{3}\))