Question
What is the volume of this cylinder?
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
8 ft
2 ft
cubic feet
Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
8 ft
2 ft
cubic feet
Answers
GPT-4o mini
To find the volume of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height,
- and \( \pi \) is approximately 3.14.
In your case, the height \( h \) is 8 ft, and the diameter is 2 ft. To find the radius \( r \), you can divide the diameter by 2:
\[ r = \frac{2 \text{ ft}}{2} = 1 \text{ ft} \]
Now, plug in the values into the volume formula:
\[ V = 3.14 \times (1 \text{ ft})^2 \times 8 \text{ ft} \]
Calculating this step-by-step:
1. Calculate the radius squared: \( (1 \text{ ft})^2 = 1 \text{ ft}^2 \)
2. Multiply by the height: \( 1 \text{ ft}^2 \times 8 \text{ ft} = 8 \text{ ft}^3 \)
3. Multiply by \( \pi \): \( 3.14 \times 8 \text{ ft}^3 = 25.12 \text{ ft}^3 \)
Therefore, the volume of the cylinder is approximately
\[\boxed{25.12} \text{ cubic feet}\] after rounding to the nearest hundredth.
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height,
- and \( \pi \) is approximately 3.14.
In your case, the height \( h \) is 8 ft, and the diameter is 2 ft. To find the radius \( r \), you can divide the diameter by 2:
\[ r = \frac{2 \text{ ft}}{2} = 1 \text{ ft} \]
Now, plug in the values into the volume formula:
\[ V = 3.14 \times (1 \text{ ft})^2 \times 8 \text{ ft} \]
Calculating this step-by-step:
1. Calculate the radius squared: \( (1 \text{ ft})^2 = 1 \text{ ft}^2 \)
2. Multiply by the height: \( 1 \text{ ft}^2 \times 8 \text{ ft} = 8 \text{ ft}^3 \)
3. Multiply by \( \pi \): \( 3.14 \times 8 \text{ ft}^3 = 25.12 \text{ ft}^3 \)
Therefore, the volume of the cylinder is approximately
\[\boxed{25.12} \text{ cubic feet}\] after rounding to the nearest hundredth.