Question

Question

Find the volume of a sphere with a radius of 3 m. Use 3.14 as an approximation for pi. Round your answer to the nearest hundredth, if necessary.(1 point)

Answer 1

To find the volume of a sphere, you can use the formula:

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

where $V$ is the volume and $r$ is the radius of the sphere. Given that the radius $r$ is 3 m, and using $\pi \approx 3.14$, we can plug in the values:

$$V=\frac{4}{3}\times 3.14\times (3{)}^3$$

First, calculate $(3{)}^3$:

$$(3{)}^3=27$$

Now substitute that back into the formula:

$$V=\frac{4}{3}\times 3.14\times 27$$

Next, calculate $\frac{4}{3}\times 27$:

$$\frac{4\times 27}{3}=\frac{108}{3}=36$$

Now multiply by $3.14$:

$$V=36\times 3.14=113.04$$

Thus, the volume of the sphere is approximately:

$$\boxed{{\displaystyle 113.04}}{\text{ m}}^3$$