Answer:
SA ≈ 434.5 cm²
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius )
The surface area (SA) is calculated as
SA = 4πr²
To find r use the volume formula
[tex]\frac{4}{3}[/tex]πr³ = 850 ( multiply both sides by [tex]\frac{3}{4}[/tex] to clear the fraction )
πr³ = 637.5 ( divide both sides by π )
r³ = [tex]\frac{637.5}{\pi }[/tex] ( take the cube root of both sides )
r = [tex]\sqrt[3]{\frac{637.5}{\pi } }[/tex] ≈ 5.88 cm ( to 2 dec. places )
Then
SA = 4π × 5.88² ≈ 434.5 cm² ( to 1 dec. place )
