Question
what is the volume of this cylinder in cubic inches
6 in on the top
5 in on the side
1. 30π
2. 60π
3. 150π
4. 180π
6 in on the top
5 in on the side
1. 30π
2. 60π
3. 150π
4. 180π
Answers
GPT-4o mini
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.
From your description, it looks like the cylinder has a diameter of 6 inches on the top, which means the radius \( r \) is half of that:
\[ r = \frac{6}{2} = 3 \text{ inches} \]
The height \( h \) of the cylinder is given as 5 inches.
Now, plug the values into the volume formula:
\[ V = \pi (3)^2 (5) \]
\[ V = \pi (9)(5) \]
\[ V = 45\pi \]
It looks like my calculation does not match any of the options you provided (30π, 60π, 150π, 180π). Please double-check the dimensions of the cylinder.
If you meant that the height is actually different or if there are any other measurements to consider, let me know!
\[ V = \pi r^2 h \]
where \( r \) is the radius and \( h \) is the height.
From your description, it looks like the cylinder has a diameter of 6 inches on the top, which means the radius \( r \) is half of that:
\[ r = \frac{6}{2} = 3 \text{ inches} \]
The height \( h \) of the cylinder is given as 5 inches.
Now, plug the values into the volume formula:
\[ V = \pi (3)^2 (5) \]
\[ V = \pi (9)(5) \]
\[ V = 45\pi \]
It looks like my calculation does not match any of the options you provided (30π, 60π, 150π, 180π). Please double-check the dimensions of the cylinder.
If you meant that the height is actually different or if there are any other measurements to consider, let me know!