Subjects geometry

Cylinder Height C876E7

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1. **State the problem:** We need to solve for the height $h$ of a cylindrical can given its volume $V = 1188$ cubic inches and the formula for the volume of a cylinder: $$V = \pi r^2 h$$ where $r$ is the radius of the base and $h$ is the height. 2. **Write the formula and substitute known values:** Given $V = 1188$ and using $\pi \approx 3.14$, the formula becomes: $$1188 = 3.14 \times r^2 \times h$$ 3. **Solve for $h$:** To isolate $h$, divide both sides of the equation by $3.14 r^2$: $$h = \frac{1188}{3.14 \times r^2}$$ 4. **Interpretation:** This formula means the height $h$ depends on the radius $r$. Once you know $r$, plug it into the formula to find $h$. **Final answer:** $$\boxed{h = \frac{1188}{3.14 r^2}}$$