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.

Explanation:

Step1: Recall cylinder volume formula

The volume \( V \) of a cylinder is \( V = \pi r^2 h \), where \( r = 6 \, \text{cm} \), \( V = 550 \, \text{cm}^3 \), and \( \pi = 3.14 \). We solve for \( h \): \( h = \frac{V}{\pi r^2} \).

Step2: Calculate base area

Base area \( = \pi r^2 = 3.14 \times 6^2 = 3.14 \times 36 = 113.04 \, \text{cm}^2 \).

Step3: Compute height

\( h = \frac{550}{113.04} \approx 4.9 \, \text{cm} \).

Answer:

4.9 cm