Answer:
-The volume of the cone is 100.5[tex]in^3[/tex] .
Step-by-step explanation:
To find the volume of cone, you need the formula:
[tex]V =\frac{1}{3} \pi r^2 h[/tex]
-Use the radius and the height for the formula:
[tex]V =\frac{1}{3} \pi 4^2 6[/tex]
-Then, you solve:
[tex]V =\frac{1}{3} \pi 4^2 6[/tex]
[tex]V = \frac{1}{3}\pi[/tex] × [tex]4^2[/tex] × [tex]6[/tex]
[tex]V = \frac{1}{3}\pi[/tex] × [tex]16[/tex] × [tex]6[/tex]
[tex]V = \frac{1}{3}\pi[/tex] × [tex]96[/tex]
[tex]V = \frac{96}{3} \pi[/tex]
[tex]V = 32\pi \approx 100.53[/tex]
-Round to the nearest tenth:
[tex]V \approx 100.5[/tex]
So, therefore, the volume of the cone is 100.5[tex]in^3[/tex] .
