Respuesta :
I believe that the radius is 2 and the height is 6
2 squared is 4 times 6 is 24 times pi would be 24 pi
1/3 pi 2^2 6
1/3 (pi)(4)(6)
1/3 (pi)(24)
8pi feet cubed, I believe
assuming you are leaving in answer in pi form.
2 squared is 4 times 6 is 24 times pi would be 24 pi
1/3 pi 2^2 6
1/3 (pi)(4)(6)
1/3 (pi)(24)
8pi feet cubed, I believe
assuming you are leaving in answer in pi form.
Answer:
Volume of the cylinder(V) is given by:
[tex]V = \pi r^2h[/tex]
where, r is the radius of the cylinder and h is the height of the cylinder.
Volume of a cone(V') is given by:
[tex]V' = \frac{1}{3} \pi r'^2h'[/tex]
where,
r' is the radius and h' is the height of the cone.
As per the statement:
The volume of a cylinder is 24 pi cubic feet.
⇒ [tex]V=24 \pi[/tex] cubic feet.
⇒[tex]24 \pi = \pi r^2h[/tex] ....[1]
To find the volume of a cone having the same base and same height.
⇒r = r' and h = h'
then;
[tex]V' = \frac{1}{3} \pi r'^2h'[/tex]
⇒ [tex]V' = \frac{1}{3} \pi r^2h[/tex]
⇒ [tex]V' = \frac{1}{3} (24\pi)[/tex] using [1]
⇒[tex]V' = 8 \pi[/tex] cubic feet
therefore, the volume of a cone having the same base and same height is, [tex]8 \pi[/tex] cubic feet
