Question

A can of soda can be modeled as a right cylinder. Aubrey measures its height as 10.1 cm and its circumference as 14 cm. Find the volume of the can in cubic centimeters. Round your answer to the nearest tenth if necessary.

Answer 1

the volume of the soda can is approximately 157.4 cubic centimeters.

Explanation:

First, we need to find the radius of the cylinder using the circumference formula:

C = 2πr

where C is the circumference and r is the radius.

We know that the circumference is 14 cm, so we can solve for r:

14 = 2πr

r = 14/(2π) = 2.227 cm (rounded to three decimal places)

Now that we know the radius, we can use the formula for the volume of a cylinder:

V = πr^2h

where V is the volume, r is the radius, and h is the height.

Substituting the values we have:

V = π(2.227 cm)^2(10.1 cm)

V ≈ 157.4 cubic centimeters (rounded to the nearest tenth)

Therefore, the volume of the soda can is approximately 157.4 cubic centimeters.