Question

what is the volume of the cone to the nearest cubic millimeter? (use π = 3.14) a 151 mm³ b 301 mm³ c 402 mm³

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 \( r = 6\space mm \) and the height \( h=8\space mm \), and \( \pi = 3.14 \).

Step3: Substitute the values into the formula

First, calculate \( r^{2} \): \( r^{2}=6^{2} = 36 \).
Then, calculate \( \pi r^{2}h \): \( 3.14\times36\times8=3.14\times288 = 904.32 \).
Finally, calculate \( \frac{1}{3}\pi r^{2}h \): \( \frac{1}{3}\times904.32=301.44 \approx 301 \space mm^{3} \).

Answer:

B. \( 301\space mm^{3} \)