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erica [24]
3 years ago
13

What is the volume of the composite figure? Express the

Mathematics
2 answers:
Agata [3.3K]3 years ago
5 0

Answer:

312 πmm^2

Step-by-step explanation:

On edg

Papessa [141]3 years ago
3 0

Answer:

V=312\pi\ mm^{3}

Step-by-step explanation:

we know that

The volume of the composite figure is equal to the volume of a semi-sphere plus the volume of the cone

so

V=\frac{4}{6}\pi r^{3} +\frac{1}{3} \pi r^{2} h

we have

r=6\ mm

h=14\ mm

substitute

V=\frac{4}{6}\pi (6)^{3} +\frac{1}{3} \pi (6)^{2} (14)

V=144\pi +168\pi

V=312\pi\ mm^{3}

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