10/20 Which measurement is closest to the volume of a cylinder that has a radius of 3 inches $$ \& a $$ hoight of 10.5 inches? $$ 197.92 \mathrm{in}^{3} $$ $$ 296.88 \mathrm{in}^{3}{ }^{3} $$ 254,47 in. $$ ^{3} $$ $$ 395.84 \mathrm{in}^{3} $$

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To find the volume of a cylinder, we can use the formula:

$$
V = \pi r^2 h
$$

where:
- $$ V $$ is the volume,
- $$ r $$ is the radius,
- $$ h $$ is the height.

Given:
- $$ r = 3 $$ inches,
- $$ h = 10.5 $$ inches.

Now, let's calculate the volume step by step.

1. Calculate $$ r^2 $$:
   $$
   r^2 = 3^2 = 9
   $$

2. Multiply $$ r^2 $$ by $$ h $$:
   $$
   r^2 \cdot h = 9 \cdot 10.5 = 94.5
   $$

3. Multiply by $$ \pi $$:
   $$
   V = \pi \cdot 94.5
   $$

Now, let's calculate $$ V $$ using the value of $$ \pi \approx 3.14159 $$.

$$
V \approx 3.14159 \cdot 94.5
$$

Now, I will perform this calculation.
Calculate the value by following steps:
- step0: Calculate:
  $$3.14159\times 94.5$$
- step1: Multiply the numbers:
  $$296.880255$$
The calculated volume of the cylinder is approximately:

$$
V \approx 296.88 \, \text{in}^3
$$

Now, let's compare this result with the provided options:

1. $$ 197.92 \, \text{in}^3 $$
2. $$ 296.88 \, \text{in}^3 $$
3. $$ 254.47 \, \text{in}^3 $$
4. $$ 395.84 \, \text{in}^3 $$

The closest measurement to the calculated volume is:

$$
\boxed{296.88 \, \text{in}^3}
$$
The volume of the cylinder is closest to $$ 296.88 \, \text{in}^3 $$.

10/20 Which measurement is closest to the volume of a cylinder that has a radius of 3 inches \( \& a \) hoight of 10.5 inches? \( 197.92 \mathrm{in}^{3} \) \( 296.88 \mathrm{in}^{3}{ }^{3} \) 254,47 in. \( ^{3} \) \( 395.84 \mathrm{in}^{3} \)

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