Question

what is the volume of this cone? round your answer to the nearest hundredth. 10 ft 7 ft cubic feet submit

Explanation:

Step1: Recall the formula for the volume of a cone

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

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

From the diagram, the radius \( r = 7 \) feet and the height \( h=10 \) feet.

Step3: Substitute the values into the formula

Substitute \( r = 7 \) and \( h = 10 \) into the formula:

$$
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$$

Step4: Calculate the numerical value

Using \( \pi\approx3.14159 \), we have:

$$ V=\frac{490\times3.14159}{3}\approx\frac{1539.38}{3}\approx513.13 $$

Answer:

\( 513.13 \)