The volume of a sphere is 3,000π m3. What is the surface area of the sphere to the nearest square meter?
First, solve for the radius of the sphere using the volume and the equation,
V = 4πr³ / 3
Substituting for the known values,
3000π m³ = 4πr³/3
The value of r from the equation is approximately 13.10 meters. The equation for the surface area is,
SA = 4πr²
Substituting the value of radius,
SA = 4π(13.10 m)² = 2157.74 m²
Therefore, the surface area is approximately 2157.74 m².
Answer:
2158.0164
Step-by-step explanation:
4/3 PI R^3 = 3000 PI ; R^3 = 3/4 3000 =2250 CUBIC UNITS ; R =13.1037
=R/3[4 PI R^2] =3000 PI ; 4 PI R^2 =3000 PI3/13.1037
= 2158.0164 SQUARE UNITS
ANSWER : The surface area of a sphere =2158.0164 SQUARE UNITS