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.
