Answer:
96π
Step-by-step explanation:
You will need the formula for the volume of a cone.
[tex]V=\frac{1}{3}[/tex]π[tex]r^{2}[/tex]h
r= 6 cm
To find the height, you need to use the Pythagorean theorem.
a²+ b² = c² (a and b are the 2 legs and c is the hypotenuse)
b = [tex]\sqrt{{c^{2}-a^{2} }[/tex]
b= [tex]\sqrt{10^{2}-6^{2} }[/tex] = 8
h= 8 cm
remember PEMDAS!
[tex]V=\frac{1}{3}[/tex]π[tex](6)^{2}[/tex]8
[tex]V=\frac{1}{3}[/tex]π(36)8
[tex]V=[/tex] π(12)8
V= 96π
Answering in terms of π is more accurate because it is actually infinite so when it gets rounded to 3.14, that is only an approximation of pi. (π is actually 3.1415926535897932384626433 etc.)
