Question
Which measurement is closest to the volume of a cylinder that has a radius of 3 inches \( \& \) a height of 10.5 inches?
Ask by Perkins Beck. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The volume of the cylinder is approximately 296.88 cubic inches.
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 that the radius of the cylinder is 3 inches and the height is 10.5 inches, we can substitute these values into the formula to find the volume.
\[ V = \pi (3)^2 (10.5) \]
Now, we can calculate the volume of the cylinder.
Calculate the value by following steps:
- step0: Calculate:
\(\pi \times 3^{2}\times 10.5\)
- step1: Multiply the terms:
\(9\pi \times 10.5\)
- step2: Multiply the terms:
\(94.5\pi \)
- step3: Simplify:
\(296.880506\)
The volume of the cylinder with a radius of 3 inches and a height of 10.5 inches is approximately 296.88 cubic inches.
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Mind Expander
To find the volume of a cylinder, you can use the formula \( V = \pi r^2 h \), where \( r \) is the radius and \( h \) is the height. Plugging in your values, \( V = \pi (3)^2 (10.5) \), which simplifies to \( V \approx 99.32 \) cubic inches when calculated. So, the closest measurement to the volume of your cylinder is approximately 99.32 cubic inches. When working with volumes, it’s common to round your answer, especially in practical applications. In this case, it might be better to state your result as approximately 99 cubic inches, unless precision is essential—then stick with the decimals to express accuracy!
