Multiple choice

A cylindrical tank has a capacity (volume) of 6,160 cu. cm. If its radius is 14 cm, then its depth (in cm) is:

  1. 5

  2. 10

  3. 15

  4. 50

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume = pi * r^2 * h. 6160 = (22/7) * 14 * 14 * h. 6160 = 22 * 2 * 14 * h. 6160 = 616 * h. h = 10.

AI explanation

Using the formula for the volume of a cylinder, V = pi times r squared times h, we substitute the given values as 6160 = (22/7) times 14 times 14 times h. This simplifies to 6160 = 22 times 2 times 14 times h, resulting in 6160 = 616 times h. Dividing both sides by 616 gives the depth h as 10 cm.