Question

1. find the volume of the cone in terms of π

18 yd
9 yd
a. 108π
b. 486π
c. 1458π
d. 324π

1. enter the volume for the cone. round your answer to the nearest hundredths if necessary.

Explanation:

Step1: Recall the formula for the volume of a cone

The formula for the volume \( V \) of a cone is \( V=\frac{1}{3}\pi r^{2}h \), 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 \( r = 9\) yd and the height \( h=18\) yd.

Step3: Substitute the values into the formula

Substitute \( r = 9\) and \( h = 18\) into the formula:

$$
LATEXBLOCK0
$$

Answer:

B. \( 486\pi \)