Question

calculator
what is the approximate volume of the cone?
use 3.14 for π.
57 cm³
339 cm³
509 cm³
1526 cm³

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 \( r = 9\space cm \) and the height \( h=6\space cm \). We are given that \( \pi = 3.14 \).

Step3: Substitute the values into the formula

First, calculate \( r^{2} \): \( r^{2}=9^{2}=81 \).
Then, calculate \( \pi r^{2}h \): \( 3.14\times81\times6 = 3.14\times486=1526.04 \).
Finally, calculate \( \frac{1}{3}\pi r^{2}h \): \( \frac{1}{3}\times1526.04 = 508.68\approx509 \).

Answer:

\( 509\space cm^{3} \) (corresponding to the option with \( 509\space cm^{3} \))