Question

The volume of a sphere is 5,000pi m3. What is the surface area of the sphere to the nearest square meter?

Answer 1

To get the surface area of the sphere, we need to know the radius. Since the volume is given, we can get the radius.
Volume =  $\frac{4}{3}$π r³
5000πm³ = $\frac{4}{3}$ π r³
5000m³ = $\frac{4}{3}$ r³
5000m³ x 3 = 4r³
$\frac{15000m³}{4}$ = $\frac{4r³}{4}$
∛3750 = ∛r³

r = 15.536m
r = 15.54m
Since the radius is now known, substitute it directly to the surface area formula
A = 4π x r²
A = 4π x (15.54)²
A= 3,034.67 m² or 3,035 m²