Find the volume $V$ of a sphere if diameter $d = 20 cm$ .

Answer

$\frac{4000}{3} π cm^{3}$

Explanation

STEP 1: find radius $r$

To find radius $r$ use formula:

d = 2 \cdot r

After substituting $d = 20 cm$ we have:

20 cm = 2 \cdot r

r = \frac{20 cm}{2}

r = 10 cm

STEP 2: find volume $V$

To find volume $V$ use formula:

V = \frac{4 \cdot r ^{3} \cdot π}{3}

After substituting $r = 10 cm$ we have:

V = \frac{4 \cdot ( 10 cm ) ^{3} \cdot π}{3}

V = \frac{4 \cdot 1000 cm ^{3} \cdot π}{3}

V = \frac{4000 cm ^{3} \cdot π}{3}

V = \frac{4000}{3} cm^{3} \cdot π

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Find the volume V of a sphere if diameter d=20cm.

34000​πcm3

Find the volume $V$ of a sphere if diameter $d = 20 cm$ .

$\frac{4000}{3} π cm^{3}$