Answer:
a) 16[tex]\pi[/tex]
b) Using [tex]\pi[/tex] is more accurate because it represents the exact and full value of pi, rather than an estimation or approximation like 3.14.
Step-by-step explanation:
The formula to find the volume of a cone is [tex]\frac{1}{3} \pi r^{2} h[/tex]. We know the radius is 6, so all we need to find is the height, h. By using the Pythagorean theorem, we can see that the height is [tex]10^{2} - 6^{2} = \sqrt{64}[/tex], or 8. Plugging in all the values into the formula gives us:
V = [tex]\frac{1}{3} \pi (6)(8)[/tex]
V = 16[tex]\pi[/tex]
Hope this helped! :)
