Question
A+water+bottle+has+a+height+of+16+inches+and+a+radius+of+4+inches.+What+is+the+volume%2C+in+cubic+inches%2C+of+the+water+bottle%3F+Use+3.14+for+pi
Answers
GPT-4o mini
To find the volume of a cylindrical water bottle, you can use the formula for the volume of a cylinder:
\[
V = \pi r^2 h
\]
where:
- \(V\) is the volume,
- \(r\) is the radius of the base,
- \(h\) is the height of the cylinder,
- \(\pi\) is approximately 3.14.
Given:
- Height \(h = 16\) inches,
- Radius \(r = 4\) inches.
Substituting the values into the formula:
\[
V = 3.14 \times (4)^2 \times 16
\]
First, calculate \( (4)^2 \):
\[
(4)^2 = 16
\]
Now, substitute back:
\[
V = 3.14 \times 16 \times 16
\]
Next, calculate \(16 \times 16\):
\[
16 \times 16 = 256
\]
Now substitute back into the volume formula:
\[
V = 3.14 \times 256
\]
Now, multiply:
\[
V = 802.24
\]
Thus, the volume of the water bottle is approximately \(802.24\) cubic inches.
\[
V = \pi r^2 h
\]
where:
- \(V\) is the volume,
- \(r\) is the radius of the base,
- \(h\) is the height of the cylinder,
- \(\pi\) is approximately 3.14.
Given:
- Height \(h = 16\) inches,
- Radius \(r = 4\) inches.
Substituting the values into the formula:
\[
V = 3.14 \times (4)^2 \times 16
\]
First, calculate \( (4)^2 \):
\[
(4)^2 = 16
\]
Now, substitute back:
\[
V = 3.14 \times 16 \times 16
\]
Next, calculate \(16 \times 16\):
\[
16 \times 16 = 256
\]
Now substitute back into the volume formula:
\[
V = 3.14 \times 256
\]
Now, multiply:
\[
V = 802.24
\]
Thus, the volume of the water bottle is approximately \(802.24\) cubic inches.