A cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed.

Question

 A cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed. The base of the can has an area of 35 cm² , and the height of the can is 5 cm. If 55 cm³ of syrup is needed to fill the can to the top, what is the total volume of the pieces of fruit in the can to the nearest whole number? 

A. 175

B. 230

C. 120

D. 200

Answer 1

Hello, Luisa,

The volume of a cylinder is pi*r²h. The pi*r² is the area of the cylinder's base, which is given to us as 35 cm². Given the height of 5 cm, the can's volume can be calculated as V = (35 cm²)*(5 cm), or 175 cm³. Since the volume of syrup it took to fill the can was 55 cm³, the difference must be due to the fruit.

175cm³ - 55cm³ = 120 cm³

Bob

Answer 2

The volume of any prism (a cylinder is just a circular prism) is (area of the base) * height. In this problem, the area of the base is 35 cm² and the height is 5 cm. So the volume would be 35 * 5 or 175 cm³.

Since you need 55 cm² of space for the syrup, then 175 - 55 or 120 cm³ of space is taken up by the fruit.