Question

A can of soda can be modeled as a right cylinder. Abdoulaye measures its height as 12.2 cm and volume as 190 cubic centimeters. Find the can’s diameter in centimeters. Round your answer to the nearest tenth if necessary.

Answer 1

To find the diameter of the can, use the formula for the volume of a right cylinder and solve for the radius. Double the radius to find the diameter. The diameter of the can is approximately 1.500 cm.

Step-by-step explanation:

To find the diameter of the can, we need to use the formula for the volume of a right cylinder, which is V = πr²h.

Given that the height of the can is 12.2 cm and the volume is 190 cubic centimeters, we can rearrange the formula to solve for the radius (r).

Using the formula r = √(V / (πh)), we can plug in the values and calculate the radius. Finally, to find the diameter, we double the radius.

r = √(190 / (π × 12.2)) ≈ 0.750 cm

Diameter = 2 × radius = 2 × 0.750 cm = 1.500 cm (rounded to the nearest tenth)