Question

The volume of a sphere is 3,500 pi m cubed. What is the surface area of the sphere to the nearest square meter?

Answer 1

Answer:

$2390 {m}^{2}$

Step-by-step explanation:

The formula for calculating the volume of a cylinder is

$V = \frac{4}{3} \pi {r}^{3}$

It was given that the volume is 3,500π m³

We equate the formula to this value to get:

$\frac{4}{3} \pi {r}^{3} = 3500\pi$

${r}^{3} = \frac{3 \times 3500\pi}{4\pi}$

${r}^{3} = 2625$

$r = \sqrt[3]{2625}$

$r = 13.79$

The area of a sphere is given by:

$Area=4 \pi{r}^{2}$

$Area=4 \times \pi \times {13.79}^{2}$

$Area=2389.67$

Therefore the area is approximately 2390m² to the nearest square unit.