Answer:
Snow is needed to make the snowman is= 155.04 cubic feet
Step-by-step explanation:
Given the bottom ball is 3 feet across.
The volume of snow to make the bottom ball= [tex]\frac{4}{3} \pi r^3[/tex]
[tex]=\frac{4}{3} \pi \times 3^3[/tex] cubic feet
The middle ball is 2 feet across.
The volume of snow to make the middle ball= [tex]\frac{4}{3} \pi r^3[/tex]
[tex]=\frac{4}{3} \pi \times 2^3[/tex]cubic feet
The top ball is 1 feet across.
The volume of snow to make the top ball= [tex]\frac{4}{3} \pi r^3[/tex]
[tex]=\frac{4}{3} \pi \times 1^3[/tex] cubic feet
Snow is needed to make the snowman is
([tex]\frac{4}{3} \pi \times 3^3+\frac{4}{3} \pi \times 2^3+\frac{4}{3} \pi \times 1^3[/tex]) cubic feet
[tex]= \frac{4}{3} \pi (27+8+1)[/tex] cubic feet
[tex]=\frac{148}{3} \pi[/tex] cubic feet
=155.04 cubic feet
