1 Answer

Hassec · Answer 1 · 2020-06-07T09:42:22+0000

Answer:

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

Explanation:

step 1

Find the radius of the sphere

we know that the volume of the sphere is equal to

$V=(4)/(3)\pi r^(3)$

we have

$V=(1,375)/(21)\ cm^(3)$

substitute and solve for r

$(1,375)/(21)=(4)/(3)\pi r^(3)$

assume

$\pi =3.14$

r^(3)=(1,375)/(21)((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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