Question

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

Answer 1

Both volumes are the same

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{(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.