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Answer :
To find the volume of a cylinder, you use the formula:
[tex]\[ \text{Volume} = \pi \times \text{radius}^2 \times \text{height} \][/tex]
Let's go through the steps using the given dimensions:
1. Identify the dimensions:
- The height of the cylinder is 18.6 inches.
- The radius of the base is 6.2 inches.
2. Substitute the values into the formula:
[tex]\[
\text{Volume} = \pi \times (6.2)^2 \times 18.6
\][/tex]
3. Calculate the square of the radius:
[tex]\[
6.2^2 = 38.44
\][/tex]
4. Multiply the square of the radius by the height:
[tex]\[
38.44 \times 18.6 = 714.984
\][/tex]
5. Multiply by [tex]\(\pi\)[/tex] (approximately 3.14159):
[tex]\[
\pi \times 714.984 \approx 2246.188
\][/tex]
6. Round to the nearest tenth:
[tex]\[
2246.188 \approx 2246.2
\][/tex]
So, the volume of the cylinder is approximately 2246.2 cubic inches.
[tex]\[ \text{Volume} = \pi \times \text{radius}^2 \times \text{height} \][/tex]
Let's go through the steps using the given dimensions:
1. Identify the dimensions:
- The height of the cylinder is 18.6 inches.
- The radius of the base is 6.2 inches.
2. Substitute the values into the formula:
[tex]\[
\text{Volume} = \pi \times (6.2)^2 \times 18.6
\][/tex]
3. Calculate the square of the radius:
[tex]\[
6.2^2 = 38.44
\][/tex]
4. Multiply the square of the radius by the height:
[tex]\[
38.44 \times 18.6 = 714.984
\][/tex]
5. Multiply by [tex]\(\pi\)[/tex] (approximately 3.14159):
[tex]\[
\pi \times 714.984 \approx 2246.188
\][/tex]
6. Round to the nearest tenth:
[tex]\[
2246.188 \approx 2246.2
\][/tex]
So, the volume of the cylinder is approximately 2246.2 cubic inches.
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