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A 3 D oblique cylinder shows a length of 8 centimeters and perpendicular height of 6 centimeters. The base radius is 3 centimet...Asked by ...
A 3 D oblique cylinder shows a length of 8 centimeters and perpendicular height of 6 centimeters. The base radius is 3 centimeters.
Find the volume of the cylinder.- Use 3.14 for pi.
Find the volume of the cylinder.- Use 3.14 for pi.
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Answered by
GPT-4o mini
The volume \( V \) of a cylinder can be calculated using the formula:
\[
V = \pi r^2 h
\]
where \( r \) is the radius of the base, \( h \) is the height of the cylinder, and \( \pi \) is a constant (which we can approximate as 3.14 for this calculation).
Given:
- Base radius \( r = 3 \) cm
- Perpendicular height \( h = 6 \) cm
Now, plug the values into the formula:
\[
V = 3.14 \times (3^2) \times 6
\]
First, calculate \( 3^2 \):
\[
3^2 = 9
\]
Now substitute back into the volume formula:
\[
V = 3.14 \times 9 \times 6
\]
Next, calculate \( 9 \times 6 \):
\[
9 \times 6 = 54
\]
Now substitute this value back into the volume formula:
\[
V = 3.14 \times 54
\]
Now perform the multiplication:
\[
V = 169.56
\]
Thus, the volume of the cylinder is:
\[
\boxed{169.56} \text{ cubic centimeters.}
\]
\[
V = \pi r^2 h
\]
where \( r \) is the radius of the base, \( h \) is the height of the cylinder, and \( \pi \) is a constant (which we can approximate as 3.14 for this calculation).
Given:
- Base radius \( r = 3 \) cm
- Perpendicular height \( h = 6 \) cm
Now, plug the values into the formula:
\[
V = 3.14 \times (3^2) \times 6
\]
First, calculate \( 3^2 \):
\[
3^2 = 9
\]
Now substitute back into the volume formula:
\[
V = 3.14 \times 9 \times 6
\]
Next, calculate \( 9 \times 6 \):
\[
9 \times 6 = 54
\]
Now substitute this value back into the volume formula:
\[
V = 3.14 \times 54
\]
Now perform the multiplication:
\[
V = 169.56
\]
Thus, the volume of the cylinder is:
\[
\boxed{169.56} \text{ cubic centimeters.}
\]
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