Question

what is the volume of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. 28 m cubic meters submit

Explanation:

Step1: Find the radius of the sphere

The diameter of the sphere is given as 28 m. The radius \( r \) is half of the diameter, so \( r=\frac{28}{2}=14 \) 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 \( \pi\approx3.14 \) and \( r = 14 \) into the formula:
\[

$$\begin{align*} V&=\frac{4}{3}\times3.14\times14^{3}\\ &=\frac{4}{3}\times3.14\times2744\\ &=\frac{4\times3.14\times2744}{3}\\ &=\frac{34464.64}{3}\\ &\approx11488.21 \end{align*}$$

\]

Answer:

11488.21