Find the area $A$ of a sphere if diameter $d = 100 cm$ .

Answer

$10000 π cm^{2}$

Explanation

STEP 1: find radius $r$

To find radius $r$ use formula:

d = 2 \cdot r

After substituting $d = 100 cm$ we have:

100 cm = 2 \cdot r

r = \frac{100 cm}{2}

r = 50 cm

STEP 2: find area $A$

To find area $A$ use formula:

A = 4 \cdot r^{2} \cdot π

After substituting $r = 50 cm$ we have:

A = 4 \cdot (50 cm)^{2} \cdot π

A = 10000 cm^{2} \cdot π

A = 10000 cm^{2} \cdot π

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Find the area A of a sphere if diameter d=100cm.

10000πcm2

Find the area $A$ of a sphere if diameter $d = 100 cm$ .

$10000 π cm^{2}$