\( -12 \mathrm{~cm} \) \( \qquad \) 4 9 cm You want to catch rainwater in this cylindrical container: About how much water will it hold?
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To calculate the volume of a cylindrical container, you can use the formula \( V = \pi r^2 h \), where \( r \) is the radius and \( h \) is the height. Given that the height is \( -12 \) cm (assuming it's a typo since height cannot be negative) and the diameter is \( 9 \) cm, the radius \( r \) would be \( 4.5 \) cm. Plugging these values into the formula, if we assume the height is actually \( 12 \) cm, the volume would be: \[ V = \pi (4.5^2)(12) \approx 254.47 \text{ cm}^3. \] So, your cylindrical container would hold approximately \( 254.47 \) cm³ of rainwater! Imagining rainwater collected over a lovely afternoon? With about 254.47 cm³ of space in your cylindrical container, that's enough to fill up a small cup! Who knew rainwater could be so entertaining? Just think of all the little adventures you could have tracking how full your container gets with each passing shower. What about using that water to start a tiny indoor garden? 🌧️🌱