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32 votes
32 votes
Find the volume of the compound shape.​

Find the volume of the compound shape.​-example-1
User Gumeo
by
2.3k points

2 Answers

23 votes
23 votes

half of a sphere:

=56.55 cm^3

cone:

=94.25 cm^3

all together:

150.80 cm^3

User Dufei
by
3.1k points
13 votes
13 votes

Volume of the hemisphere:


v = (2)/(3) \pi {r}^(3)


v = (2)/(3) * \pi * {3}^(3)


v = 56.55 \: {cm}^(3)

Volume of the cone:


v = (1)/(3) \pi {r}^(2) h


v = (1)/(3) * \pi * {3}^(2) * 10


v = 94.25 \: {cm}^(3)

Total volume:


v = 56.55 + 94.25


v = 150.80 \: {cm}^(3)

Therefore, the volume of the compound shape is 150.80 cubic centimeters.

User Weicool
by
3.5k points