Question

A can of soda can be modeled as a right cylinder. Nicole measures its height as 11.4 cm and volume as 144 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, we can use the formula for the volume of a cylinder and solve for the radius. Given that the volume is 144 cubic centimeters and the height is 11.4 cm, the diameter of the can is approximately 0.38 cm.

Step-by-step explanation:

To find the diameter of the can of soda, we first need to calculate the radius.

We can use the formula for volume of a cylinder, which is V = πr²h.

Given that the volume is 144 cubic centimeters and the height is 11.4 cm, we substitute these values into the formula and solve for the radius:

144 = 3.142r²(11.4)

Simplifying the equation:

144 = 3.142(129.276)r²

Dividing both sides by 3.142(129.276) to solve for r²:

r² = 144 / (3.142(129.276))

r² ≈ 0.36

Finally, take the square root of both sides to find the radius:

r ≈ √0.036 ≈ 0.19 cm

Since the diameter is twice the radius, the diameter of the can is approximately 2(0.19) ≈ 0.38 cm.