Question

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

Answer 1

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

$\pi =3.14$

$C=5(3.14)=15.7\ cm$