Find the volume $V$ of a sphere if area $A = 12.56 cm$ .

Answer

$1.3323 π$

Explanation

STEP 1: find radius $r$

To find radius $r$ use formula:

A = 4 \cdot r^{2} \cdot π

After substituting $A = 12.56 cm$ we have:

12.56 cm = 4 \cdot r^{2} \cdot π

r^{2} \cdot π = \frac{12.56 cm}{4}

r^{2} \cdot π = 3.14 cm

r = \frac{3.14 cm}{π}

r \approx 0.9997

STEP 2: find volume $V$

To find volume $V$ use formula:

V = \frac{4 \cdot r ^{3} \cdot π}{3}

After substituting $r = 0.9997 cm^{0}$ we have:

V = \frac{4 \cdot 0.9997 \cdot π}{3}

V = \frac{4 \cdot 0.9992 \cdot π}{3}

V = \frac{3.9969 \cdot π}{3}

V = 1.3323 \cdot π

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Find the volume V of a sphere if area A=12.56cm.

1.3323π

Find the volume $V$ of a sphere if area $A = 12.56 cm$ .

$1.3323 π$