Question

what is the volume of this cone? round your answer to the nearest hundredth. 16 in 12 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: Identify the values of \( r \) and \( h \)

From the diagram, the radius \( r = 12 \) inches and the height \( h = 16 \) inches.

Step3: Substitute the values into the formula

Substitute \( r = 12 \) and \( h = 16 \) into the formula:

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Step4: Calculate the numerical value

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

$$ V\approx768\times3.14159\approx2412.74 $$

Answer:

\( 2412.74 \)