Question

what is the volume of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. 8 m cubic meters submit

Explanation:

Step1: Find the radius of the sphere.

The diameter of the sphere is given as \( 8 \, \text{m} \). The radius \( r \) is half of the diameter, so \( r=\frac{8}{2}=4 \, \text{m} \).

Step2: Use the formula for the volume of a sphere.

The formula for the volume \( V \) of a sphere is \( V = \frac{4}{3}\pi r^{3} \). Substitute \( \pi \approx 3.14 \) and \( r = 4 \) into the formula:
\[

$$\begin{align*} V&=\frac{4}{3}\times3.14\times4^{3}\\ &=\frac{4}{3}\times3.14\times64\\ &=\frac{4\times3.14\times64}{3}\\ &=\frac{803.84}{3}\\ &\approx267.95 \end{align*}$$

\]

Answer:

\( 267.95 \)