Question

A regular 12 ounce can of soda is 4.83 inches high and has a diameter of 2.60 inches. Determine the empty space present in a can that is about 30% full. Round your answer to the nearest hundredth.

Answer 1

Empty space in the cane is 17.94 cubic inch.

Explanation:

We know can of soda is in cylindrical shape so we will apply the formula to determine the volume of cane(cylinder).

Volume of a cylinder

`V=\pi r^(2)h` where V is volume,r is radius of the base and h is the height of cylinder.

From the question r=2.6(diameter)/2=1.3 inches

h=4.83 inches

Then we put these values in the formula

`V=\pi (1.3)^24.83`

`V=\pi (1.69)(4.83)`

`V=(3.14)(1.69)(4.83)`

`V=25.63 inch^(3)`

Can is 30% filled then we have to calculate the empty space that is 70% of the total volume V.

`Empty space =25.63((70)/(100))`

=17.94 cubic inch.