Answer :D
The volume of the cone is [tex]26^{}[/tex] [tex]cm^{3}[/tex]
Question explanation:
Okay, so, we know that.
The volume of a cylinder is equal to:
[tex]V^{}[/tex] [tex]=[/tex] [tex]\pi[/tex][tex]r^{2}[/tex][tex]h[/tex]
In this problem, we have that:
[tex]V[/tex] [tex]=[/tex] [tex]78[/tex] [tex]cm^{3}[/tex]
So:
[tex]78 =[/tex] [tex]\pi[/tex][tex]r^{2}[/tex] [tex]h[/tex] [tex]=[/tex] [tex]equation[/tex] [tex]A[/tex]
The volume of a cone with the same radius and height is equal to
[tex]V =[/tex] [tex]\frac{1}{3}[/tex] [tex](\pi r^{2} h)[/tex] [tex]= equation[/tex] [tex]B[/tex]
Substitute equation A in equation B
[tex]V = \frac{1}{3} (78)[/tex]
[tex]V = 26^{}[/tex] [tex]cm^{3}[/tex]
Sorry if this answer is incorrect - Answered by Lilo
