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Naddika [18.5K]
2 years ago
10

Carlos has built a snowman consisting solely of 3 spherical snowballs. The bottom snowball has a radius of 3 ft, the middle snow

ball has a radius of 2 ft, and the top snowball has a radius of 1 ft. The total volume of the snowman is
Mathematics
2 answers:
aksik [14]2 years ago
7 0

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

Rus_ich [418]2 years ago
5 0

the volume is 24 .......

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