Question

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. The total volume of the snowman is

Answer 1

the volume is 24 .......

Answer 2

Answer:

Volume of snowman is 48π ft³

Step-by-step explanation:

Since volume of a sphere = $\frac{4}{3}(\pi)(r)^{3}$

To find the volume of snowman we will find the volume of all spheres separately and add them.

Volume of sphere with radius 3 ft = $\frac{4}{3}(\pi)(3)^{3}=\frac{4}{3}(\pi)(27)}$ ft³

Volume of sphere with radius 2 ft = $\frac{4}{3}(\pi )(2)^{3}=\frac{4}{3}(\pi )(8)$

Volume of sphere with radius 1 ft = $\frac{4}{3}(\pi )(1)^{3}=\frac{4}{3}(\pi)(1)$

Total volume of the snowman = $\frac{4}{3}(\pi)(27)+\frac{4}{3}(\pi )(8)+\frac{4}{3}(\pi )(1)$

= $\frac{4}{3}(\pi )(27+8+1)=\frac{4}{3}(\pi )(36)$

= 48π ft³

Therefore, total volume of the snowman = 48π ft³