Question

The volume of a sphere is 3,000π m3. What is the surface area of the sphere to the nearest square meter?

Answer 1

2158.0164

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 PI*3/13.1037

= 2158.0164 SQUARE UNITS

ANSWER : The surface area of a sphere =2158.0164 SQUARE UNITS

Answer 2

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.