Find the volume $V$ of a sphere if area $A = 615.44 cm$ .

Answer

$456.984 π$

Explanation

STEP 1: find radius $r$

To find radius $r$ use formula:

A = 4 \cdot r^{2} \cdot π

After substituting $A = 615.44 cm$ we have:

615.44 cm = 4 \cdot r^{2} \cdot π

r^{2} \cdot π = \frac{615.44 cm}{4}

r^{2} \cdot π = 153.86 cm

r = \frac{153.86 cm}{π}

r \approx 6.9982

STEP 2: find volume $V$

To find volume $V$ use formula:

V = \frac{4 \cdot r ^{3} \cdot π}{3}

After substituting $r = 6.9982 cm^{0}$ we have:

V = \frac{4 \cdot 6.9982 \cdot π}{3}

V = \frac{4 \cdot 342.738 \cdot π}{3}

V = \frac{1370.952 \cdot π}{3}

V = 456.984 \cdot π

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Find the volume V of a sphere if area A=615.44cm.

456.984π

Find the volume $V$ of a sphere if area $A = 615.44 cm$ .

$456.984 π$