Question

find the volume of the given sphere. take π = 3.14. use the equation editor to enter the answer to the nearest tenth. radius = 9 yd volume = ______ yd³

Explanation:

Step1: Recall the volume formula for a sphere

The formula for the volume \( V \) of a sphere is \( V=\frac{4}{3}\pi r^{3} \), where \( r \) is the radius of the sphere.

Step2: Substitute the given values

We are given that \( r = 9\) yd and \( \pi=3.14 \). Substitute these values into the formula:
\[

$$\begin{align*} V&=\frac{4}{3}\times3.14\times9^{3}\\ &=\frac{4}{3}\times3.14\times729\\ \end{align*}$$

\]

Step3: Calculate the value

First, calculate \( \frac{4}{3}\times729 = 4\times243=972 \). Then, multiply by \( 3.14 \):
\( V = 972\times3.14 = 3052.08 \)

Step4: Round to the nearest tenth

The value \( 3052.08 \) to the nearest tenth is \( 3052.1 \) (since the hundredth digit is 8, which is greater than 5, we round up the tenth digit).

Answer:

\( 3052.1 \)