Answer :
To find the volume of a cylinder, we can use the formula:
[tex]\[ V = \pi r^2 h \][/tex]
where [tex]\( V \)[/tex] is the volume, [tex]\( r \)[/tex] is the radius of the base, and [tex]\( h \)[/tex] is the height of the cylinder.
Here are the given values:
- Height ([tex]\( h \)[/tex]) = 2 inches
- Diameter of the base = 4 inches
First, we need to find the radius of the base. The radius ([tex]\( r \)[/tex]) is half of the diameter:
[tex]\[ r = \frac{\text{Diameter}}{2} = \frac{4}{2} = 2 \, \text{inches} \][/tex]
Next, we can use the volume formula. Plugging in the values:
[tex]\[ V = \pi r^2 h \][/tex]
[tex]\[ V = \pi (2^2) (2) \][/tex]
[tex]\[ V = \pi (4) (2) \][/tex]
[tex]\[ V = 8\pi \][/tex]
To get a numerical answer, we can approximate [tex]\( \pi \)[/tex] as 3.14 (commonly acceptable for practical purposes):
[tex]\[ V \approx 8 \cdot 3.14 \][/tex]
[tex]\[ V \approx 25.12 \, \text{cubic inches} \][/tex]
Finally, we round the volume to the nearest tenths place:
[tex]\[ V \approx 25.1 \, \text{cubic inches} \][/tex]
So, the volume of the cylinder is approximately 25.1 cubic inches when rounded to the nearest tenths place.
[tex]\[ V = \pi r^2 h \][/tex]
where [tex]\( V \)[/tex] is the volume, [tex]\( r \)[/tex] is the radius of the base, and [tex]\( h \)[/tex] is the height of the cylinder.
Here are the given values:
- Height ([tex]\( h \)[/tex]) = 2 inches
- Diameter of the base = 4 inches
First, we need to find the radius of the base. The radius ([tex]\( r \)[/tex]) is half of the diameter:
[tex]\[ r = \frac{\text{Diameter}}{2} = \frac{4}{2} = 2 \, \text{inches} \][/tex]
Next, we can use the volume formula. Plugging in the values:
[tex]\[ V = \pi r^2 h \][/tex]
[tex]\[ V = \pi (2^2) (2) \][/tex]
[tex]\[ V = \pi (4) (2) \][/tex]
[tex]\[ V = 8\pi \][/tex]
To get a numerical answer, we can approximate [tex]\( \pi \)[/tex] as 3.14 (commonly acceptable for practical purposes):
[tex]\[ V \approx 8 \cdot 3.14 \][/tex]
[tex]\[ V \approx 25.12 \, \text{cubic inches} \][/tex]
Finally, we round the volume to the nearest tenths place:
[tex]\[ V \approx 25.1 \, \text{cubic inches} \][/tex]
So, the volume of the cylinder is approximately 25.1 cubic inches when rounded to the nearest tenths place.
