Question

what is the volume of this cone? round your answer to the nearest hundredth. 15 in 14 in blank cubic inches submit

Explanation:

Step1: Recall the volume formula for 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: Determine the radius and height

From the diagram, the diameter of the base of the cone is \( 14 \) inches. The radius \( r \) is half of the diameter, so \( r = \frac{14}{2}=7 \) inches. The height \( h \) of the cone is \( 15 \) inches.

Step3: Substitute the values into the formula

Substitute \( r = 7 \) and \( h = 15 \) into the volume formula:

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Step4: Calculate the numerical value

Using \( \pi\approx3.14159 \), we have \( V\approx245\times3.14159\approx769.69 \) (rounded to the nearest hundredth).

Answer:

\( 769.69 \)