Question

what is the volume of this cone? round your answer to the nearest hundredth. 17 in 16 in blank cubic inches submit

Explanation:

Step1: Find the radius of the cone

The diameter of the base of the cone is given as 16 inches. The radius \( r \) is half of the diameter, so \( r=\frac{16}{2} = 8 \) inches.

Step2: 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 and \( h \) is the height. Here, \( r = 8 \) inches and \( h=17 \) inches.

Step3: Substitute the values into the formula

Substitute \( r = 8 \) and \( h = 17 \) into the formula:

$$
LATEXBLOCK0
$$

Answer:

\( 1139.19 \)