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?

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.

[tex]Volume=(edge)^3[/tex]

[tex]Volume=4^3[/tex]

[tex]Volume=64\ cubic\ inches.[/tex]

Volume of pedestal = 64 cubic inches.

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

Diameter = 3 inches.

Radius ([tex]r[/tex]) = [tex]\frac{Diameter}{2}=\frac{3}{2} \ inches.[/tex]

[tex]Volume=\frac{4}{3} \pi r^3\\\\Volume=\frac{4}{3} \times 3.14\times (\frac{3}{2} )^3\\\\Volume=\frac{12.56}{3}\times 3.375\\\\Volume=14.131\ cubic\ inches.[/tex]

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:

[tex]64+14.131\\\\=78.131\ cubic\ inches.[/tex]

Rounding to the nearest cubic inch = 78 cubic inches.

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