Find the volume $V$ of a sphere if diameter $d = 3.5 cm$ .

Answer

$7.1458 π cm^{3}$

Explanation

STEP 1: find radius $r$

To find radius $r$ use formula:

d = 2 \cdot r

After substituting $d = 3.5 cm$ we have:

3.5 cm = 2 \cdot r

r = \frac{3.5 cm}{2}

r = 1.75 cm

STEP 2: find volume $V$

To find volume $V$ use formula:

V = \frac{4 \cdot r ^{3} \cdot π}{3}

After substituting $r = 1.75 cm$ we have:

V = \frac{4 \cdot ( 1.75 cm ) ^{3} \cdot π}{3}

V = \frac{4 \cdot 5.3594 cm ^{3} \cdot π}{3}

V = \frac{21.4375 cm ^{3} \cdot π}{3}

V = 7.1458 cm^{3} \cdot π

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Find the volume V of a sphere if diameter d=3.5cm.

7.1458πcm3

Find the volume $V$ of a sphere if diameter $d = 3.5 cm$ .

$7.1458 π cm^{3}$