Question

A snow globe consists of a pedestal in the shape of a cube with a sphere mounted on top of the pedestal. The pedestal has an edge length of 4 inches and the sphere has a diameter of 3 inches. What is the volume of the snow globe rounded to the nearest cubic inch?

Answer 1

The volume of the snow globe is 78 cubic inches.

Explanation:

Given:

A snow globe consists of a pedestal in the shape of a cube with a sphere mounted on top of the pedestal. The pedestal has an edge length of 4 inches and the sphere has a diameter of 3 inches.

Now, to get the volume of the snow globe.

So, we get the volume of pedestal which is in the shape of cube by putting formula:

Edge = 4 inches.

`Volume=(edge)^3`

`Volume=4^3`

`Volume=64\ cubic\ inches.`

Volume of pedestal = 64 cubic inches.

Now, to get the volume of sphere by putting formula:

Diameter = 3 inches.

Radius (
`r`) =
`(Diameter)/(2)=(3)/(2) \ inches.`

`Volume=(4)/(3) \pi r^3\\\\Volume=(4)/(3) * 3.14* ((3)/(2) )^3\\\\Volume=(12.56)/(3)* 3.375\\\\Volume=14.131\ cubic\ inches.`

Volume of sphere = 14.131 cubic inches.

Now, to get the volume of snow globe by adding both the volumes, the volume of sphere and the volume of pedestal:

`64+14.131\\\\=78.131\ cubic\ inches.`

Rounding to the nearest cubic inch = 78 cubic inches.

Therefore, the volume of the snow globe is 78 cubic inches.