Question

A snow globe consist 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

Answer:

The volume of the snow globe is 78 cubic inches.

Step-by-step 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) = diamater/2 = 3/2 inches

Volume = 4/3πr^3

Volume = 4/3 * 3.14 * (3/2)^3

Volume = 12.56/3 * 3.375

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.