Question

A soup can in the shape of a cylinder is 11.2 centimeters high with a diameter of 8.45 centimeters. To the nearest cubic centimeter, how much soup will the can hold when it is full?

A) 149 cm
B) 200 cm
C) 628 cm
D) 2,512 cm

Answer 1

To find the volume of a cylindrical soup can, calculate the radius (half the diameter), and then use the volume formula V = πr²h, resulting in approximately 628 cm³.

Step-by-step explanation:

The question relates to finding the volume of a cylinder, which is a Mathematics problem typical for Middle School grade. To find the volume of the soup can, which is a cylinder, we can use the formula:

V = πr²h

First, we need to calculate the radius of the cylinder, which is half of the diameter:

r = diameter / 2 = 8.45 cm / 2 = 4.225 cm

Now we can substitute the values into the formula:

V = 3.142 × (4.225 cm)² × 11.2 cm

After computing the calculation, we round the result to the nearest cubic centimeter to find the capacity of the soup can:

V ≈ 628 cm³

Therefore, the soup can will hold 628 cm³ of soup when full, and the correct answer would be (C) 628 cm.