Question
A cylinder has a radius of 10 feet and a height of 11.4 feet. What is the approximate volume of the cylinder? Use 3.14 for pi.
Ask by Delgado Page. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The volume of the cylinder is approximately 3579.6 cubic feet.
Solution
To find the volume of a cylinder, we can use the formula:
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume of the cylinder,
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder.
Given:
- Radius (\( r \)) = 10 feet
- Height (\( h \)) = 11.4 feet
- Pi (\( \pi \)) = 3.14
Substitute the given values into the formula:
\[ V = 3.14 \times (10)^2 \times 11.4 \]
Now, we can calculate the volume of the cylinder.
Calculate the value by following steps:
- step0: Calculate:
\(3.14\times 10^{2}\times 11.4\)
- step1: Rewrite the expression:
\(314\times 11.4\)
- step2: Multiply the numbers:
\(3579.6\)
The approximate volume of the cylinder is 3579.6 cubic feet.
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Simplify this solution Extra Insights
To find the volume of a cylinder, you can use the formula: Volume = π * r² * h. Plugging in the values, Volume = 3.14 * (10²) * 11.4. That's 3.14 * 100 * 11.4, which equals approximately 3588 cubic feet. Isn't it fascinating how straightforward geometry can help us understand the space in everyday objects? Picture this: if you had a cylinder with that volume, it could hold enough water to fill several bathtubs!
