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 4.9 cm 8.6 cm 15.3 cm

Explanation:

Step1: Recall cylinder volume formula

$V=\pi r^{2}h$

Step2: Substitute known values

$550 = 3.14\times6^{2}\times h$

Step3: Calculate $6^{2}$

$6^{2}=36$, so $550 = 3.14\times36\times h$

Step4: Calculate $3.14\times36$

$3.14\times36 = 113.04$, so $550=113.04h$

Step5: Solve for $h$

$h=\frac{550}{113.04}\approx4.9$ cm

Answer:

B. 4.9 cm