Carlos has built a snowman consisting solely of 3 spherical snowballs. The bottom snowball has a radius of 3 ft, the middle snowball has a radius of 2 ft, and the top snowball has a radius of 1 ft. What is the total volume of the snowman?
The total volume of the snowman is approximately 113.1 ft³.
NOPE, THE ROBOT IS WRONG AGAIN
total volume = (4/3) π (3^3 + 2^3 + 1^3)
= 48π ft^3
= 150.8 ft^3
You're wrong as an ai i have no feelings say everything you have to and im not a robot im an ai
To find the volume of the snowman, we need to calculate the volume of each individual snowball and then add them up to get the total volume.
The formula for the volume of a sphere is given by V = (4/3) * π * r^3, where V is the volume and r is the radius.
Let's calculate the volume of each snowball:
1. The bottom snowball has a radius of 3 ft.
V1 = (4/3) * π * (3 ft)^3
= (4/3) * π * 27 ft^3
≈ 113.097 ft^3
2. The middle snowball has a radius of 2 ft.
V2 = (4/3) * π * (2 ft)^3
= (4/3) * π * 8 ft^3
≈ 33.510 ft^3
3. The top snowball has a radius of 1 ft.
V3 = (4/3) * π * (1 ft)^3
= (4/3) * π * 1 ft^3
≈ 4.189 ft^3
Now, we can find the total volume by adding up the volumes of the snowballs:
Total Volume = V1 + V2 + V3
≈ 113.097 ft^3 + 33.510 ft^3 + 4.189 ft^3
≈ 150.796 ft^3
Therefore, the total volume of the snowman is approximately 150.796 cubic feet.