Find the diameter $d$ of a sphere if volume $V = 320 cm$ .

Answer

$8.4863$

Explanation

STEP 1: find radius $r$

To find radius $r$ use formula:

V = \frac{4 \cdot r ^{3} \cdot π}{3}

After substituting $V = 320 cm$ we have:

320 cm = \frac{4 \cdot r ^{3} \cdot π}{3}

320 cm \cdot 3 = 4 \cdot r^{3} \cdot π

960 cm = 4 \cdot r^{3} \cdot π

r^{3} \cdot π = \frac{960 cm}{4}

r^{3} \cdot π = 240 cm

r = 3 \frac{240 cm}{π}

r \approx 4.2431

STEP 2: find diameter $d$

To find diameter $d$ use formula:

d = 2 \cdot r

After substituting $r = 4.2431 cm^{0}$ we have:

d = 2 \cdot 4.2431

d \approx 8.4863

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Find the diameter d of a sphere if volume V=320cm.

8.4863

Find the diameter $d$ of a sphere if volume $V = 320 cm$ .

$8.4863$