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page 13 of 13 Volume of a Cylinder Quick Check 4 of 54 of 5 Items Question Calculate the volume of a cylinder with a height of 25 millimeters and a diameter of 40 millimeters.(1 point) Responses 4,000π mm3 4,000 pi mm cubed 40,000π mm3 40,000 pi mm cubed 10,000π mm3 10,000 pi mm cubed 1,000π mm3 1,000 pi mm cubed Skip to navigation
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GPT-4o mini
To calculate the volume of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.
1. First, find the radius. The diameter is given as 40 millimeters, so the radius \( r \) is half of that:
\[ r = \frac{diameter}{2} = \frac{40}{2} = 20 \text{ mm} \]
2. Now, use the height \( h \) provided:
\[ h = 25 \text{ mm} \]
3. Substitute the values into the volume formula:
\[ V = \pi (20)^2 (25) \]
\[ V = \pi (400)(25) \]
\[ V = 10000\pi \]
The volume of the cylinder is:
\[ 10,000\pi \text{ mm}^3 \]
So, the correct response is:
**10,000π mm³** or **10,000 pi mm cubed**.
\[ V = \pi r^2 h \]
where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.
1. First, find the radius. The diameter is given as 40 millimeters, so the radius \( r \) is half of that:
\[ r = \frac{diameter}{2} = \frac{40}{2} = 20 \text{ mm} \]
2. Now, use the height \( h \) provided:
\[ h = 25 \text{ mm} \]
3. Substitute the values into the volume formula:
\[ V = \pi (20)^2 (25) \]
\[ V = \pi (400)(25) \]
\[ V = 10000\pi \]
The volume of the cylinder is:
\[ 10,000\pi \text{ mm}^3 \]
So, the correct response is:
**10,000π mm³** or **10,000 pi mm cubed**.
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