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SOVA2 [1]
2 years ago
9

Find the circumference of the sphere whose volume is 1375/21 cu. cm​

Mathematics
1 answer:
Anit [1.1K]2 years ago
8 0

Answer:

The circumference of the sphere is C=5\pi\ cm or C=15.7\ cm

Step-by-step explanation:

step 1

Find the radius of the sphere

we know that the volume of the sphere is equal to

V=\frac{4}{3}\pi r^{3}

we have

V=\frac{1,375}{21}\ cm^{3}

substitute and solve for r

\frac{1,375}{21}=\frac{4}{3}\pi r^{3}

assume

\pi =3.14

r^{3}=\frac{1,375}{21}(\frac{3}{4*3.14})

r=2.5\ cm

step 2

Find the circumference

The circumference is equal to

C=2\pi r

we have

r=2.5\ cm

substitute

C=2\pi(2.5)

C=5\pi\ cm

assume

\pi =3.14

C=5(3.14)=15.7\ cm

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Answer:

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