What is the surface area of a sphere if the volume is 3000 pi
1 answer:
Answer:
228.95 cm2 / 229 cm2
Step-by-step explanation:
Volume of a sphere is given by;
V = (4/3)πr3
So in this question we have to find the radius of the sphere to enable us find the surface area.
Therefore let's find the radius using the volume formula;
3000π = (4/3)πr3
Divide through by (4/3)π
r3 = 2250
r =3√2250 (cube root of 2250)
r = 13.104cm2
Since we have gotten the radius, let's calculate the surface area using the formula;
A = (4/3)πr^2
= (4/3) × π × 13.104^2
= 228.95 π cm2 or 229 cm2
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