Find the volume $V$ of a sphere if diameter $d = 1 cm$ .

Answer

$\frac{1}{6} π cm^{3}$

Explanation

STEP 1: find radius $r$

To find radius $r$ use formula:

d = 2 \cdot r

After substituting $d = 1 cm$ we have:

1 cm = 2 \cdot r

r = \frac{1 cm}{2}

r = \frac{1}{2} cm

STEP 2: find volume $V$

To find volume $V$ use formula:

V = \frac{4 \cdot r ^{3} \cdot π}{3}

After substituting $r = \frac{1}{2} cm$ we have:

V = \frac{4 \cdot ( \frac{1}{2} cm ) ^{3} \cdot π}{3}

V = \frac{4 \cdot \frac{1}{8} cm ^{3} \cdot π}{3}

V = \frac{\frac{1}{2} cm ^{3} \cdot π}{3}

V = \frac{1}{6} cm^{3} \cdot π

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Find the volume V of a sphere if diameter d=1cm.

61​πcm3

Find the volume $V$ of a sphere if diameter $d = 1 cm$ .

$\frac{1}{6} π cm^{3}$