find the volume of each sphere. round to the nearest tenth. (example 1) 1. 2.

Question

Accepted Answer

# Explanation:
## Step1: Recall the formula for the volume of a sphere
The formula for the volume of a sphere is $ V=\frac{4}{3}\pi r^{3}$, where $ r $ is the radius of the sphere.
## Step2: Calculate the volume for the first sphere (radius $ r = 10$ ft)
Substitute $ r = 10$ into the formula:
$$
\begin{align*}
V&=\frac{4}{3}\pi(10)^{3}\
&=\frac{4}{3}\pi\times1000\
&=\frac{4000}{3}\pi\
&\approx\frac{4000}{3}\times3.14\
&=\frac{12560}{3}\
&\approx4186.7
\end{align*}
$$
## Step3: Calculate the volume for the second sphere (radius $ r = 6.5$ km)
Substitute $ r = 6.5$ into the formula:
$$
\begin{align*}
V&=\frac{4}{3}\pi(6.5)^{3}\
&=\frac{4}{3}\pi\times274.625\
&=\frac{1098.5}{3}\pi\
&\approx\frac{1098.5}{3}\times3.14\
&=\frac{3449.29}{3}\
&\approx1149.8
\end{align*}
$$

# Answer:
1. The volume of the sphere with radius $ 10$ ft is approximately $ 4186.7$ cubic feet.
2. The volume of the sphere with radius $ 6.5$ km is approximately $ 1149.8$ cubic kilometers.

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Question

Explanation:

Step1: Recall the formula for the volume of a sphere

Step2: Calculate the volume for the first sphere (radius \( r = 10\) ft)

Step3: Calculate the volume for the second sphere (radius \( r = 6.5\) km)

Answer: