Question

a chef pours 550 cubic centimeters of batter into a baking pan in the shape of a right circular cylinder. if the pan has a radius of 6 cm, how high does the batter fill the baking pan? round your answer to the nearest tenth of a centimeter. use 3.14 for π. 29.2 cm 8.6 cm 4.9 cm 15.3 cm

Explanation:

Step1: Recall cylinder volume formula

The volume \( V \) of a right circular cylinder is given by \( V=\pi r^{2}h \), where \( r \) is the radius and \( h \) is the height. We need to solve for \( h \), so we can rearrange the formula to \( h = \frac{V}{\pi r^{2}} \).

Step2: Substitute the given values

We know that \( V = 550 \) cubic centimeters, \( r = 6 \) cm, and \( \pi=3.14 \). First, calculate \( r^{2} \): \( r^{2}=6^{2} = 36 \). Then calculate \( \pi r^{2} \): \( 3.14\times36=113.04 \).

Step3: Solve for \( h \)

Now, substitute \( V \) and \( \pi r^{2} \) into the formula for \( h \): \( h=\frac{550}{113.04}\approx4.9 \) (rounded to the nearest tenth).

Answer:

4.9 cm