Question

an oblique cone has a height that is 12 centimeters more than the radius (r) of its base. which formula can be used to determine the volume, in cubic centimeters, of the cone? 3 of 7 questions

Explanation:

Step1: Recall the volume formula of a cone

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

Step2: Express the height in terms of the radius

Given that \(h=r + 12\).

Step3: Substitute \(h=r + 12\) into the volume formula

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Answer:

\(\frac{1}{3}\pi r^{3}+4\pi r^{2}\) (the first option)