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question 9 of 10 find the volume of the cone shown below. a. 768 units³…

Question

question 9 of 10
find the volume of the cone shown below.

a. 768 units³
b. 960π units³
c. 960 units³
d. 768π units³

Explanation:

Step1: Recall the volume formula for a cone

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

Step2: Identify the values of \(r\) and \(h\)

From the problem, \(r = 12\) and \(h=16\).

Step3: Substitute the values into the formula

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Answer:

D. \(768\pi\) units\(^3\)