Question

volume of cylinder
slant height=10
height=7
radius=4

Answers

Answered by GPT-4o mini
To find the volume of a cylinder, you can use the formula:

\[
V = \pi r^2 h
\]

where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height.

Given:
- Radius \( r = 4 \)
- Height \( h = 7 \)

Now, we can plug in the values:

\[
V = \pi (4^2) (7) = \pi (16) (7) = 112\pi
\]

So, the volume of the cylinder is \( 112\pi \) cubic units. If you want a numerical approximation, you can approximate \( \pi \) as \( 3.14 \):

\[
V \approx 112 \times 3.14 \approx 351.68 \text{ cubic units}
\]

Thus, the exact volume is \( 112\pi \) cubic units, and the approximate volume is \( 351.68 \) cubic units.

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