Answer:
Both volumes are the same
Step-by-step explanation:
Volume of cylinder = [tex]\pi[/tex][tex]r^{2} h[/tex]
r = radius
h = height
Since area of the circle is given on top,
Area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]
We know the area is 12
12 = [tex]\pi[/tex][tex]r^{2}[/tex] (we need to find r)
r = [tex]\sqrt{\frac{12}{\pi} }[/tex]
r = 1.954
Now we can find the cylinder's volume:
Volume of cylinder = [tex]\pi[/tex][tex](1.954)^{2}[/tex] (6)
Volume of cylinder = 72
To find the volume of the cuboid, we use
Volume of cuboid = lwh
l = length
w = width
h = height
Volume of cuboid = 6 x 4 x 3
Volume of cuboid = 72
This proves that both the volumes are the same.
