Question

Someone please please help me with this ! I would really appreciate it

Answer 1

Answer:

Both volumes are the same

Step-by-step explanation:

Volume of cylinder = $\pi$$r^{2} h$

r = radius

h = height

Since area of the circle is given on top,

Area of a circle = $\pi$$r^{2}$

We know the area is 12

12 = $\pi$$r^{2}$ (we need to find r)

r = $\sqrt{\frac{12}{\pi} }$

r = 1.954

Now we can find the cylinder's volume:

Volume of cylinder = $\pi$$(1.954)^{2}$ (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.