Question

A soup can has a height of 4 inches and a radius of 2.5 inches. What's the volume of soup in cubic inches that would fill one soup can? Question 3 options: A) 62.8 in3 B) 125.7 in3 C) 78.5 in3 D) 314 in3

Answer 1

C. 78.5 in^3

Explanation:

A soup can is in the shape of a cylinder. The volume of a cylinder can be found using the following formula:

`v=\pi r^2h`

We know that the height is 4 inches and the radius is 2.5 inches.

r= 2.5 in

h= 4 in

`v=\pi (2.5in)^2*4in`

Evaluate the exponent.

`(2.5 in)^2=2.5 in*2.5in=6.25 in^2`

`v=\pi *6.25 in^2*4 in`

Multiply 6.25 in^2 and 4 in.

`6.25 in^2*4 in=25 in^3`

`v=\pi*25 in^3`

Multiply pi and 25 in^3.

`v=78.5398163 in^3`

Round to the nearest tenth. The 3 in the hundredth place tells us to leave the 5 in the tenth place.

`v=78.5 in^3`

78.5 cubic inches can fill one soup can.