Question

find the volume of the cone. either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth. (image of a cone with height 7 and radius 7)

Explanation:

Step1: Recall the formula for the volume of a cone

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

Step2: Identify the radius and height

From the figure, the radius \( r = 7 \) and the height \( h=7 \).

Step3: Substitute the values into the formula

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

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If we use \( \pi = 3.14 \):

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Answer:

If in terms of \( \pi \): \( \frac{343}{3}\pi \) units³. If using \( \pi = 3.14 \): \( 359.01 \) units³.