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 75 cm2, and the height of the can is 10cm. If 110 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?
Accepted Solution
A:
Answer:The total volume of the pieces of fruit in the can is [tex]640\ cm^{3}[/tex]Step-by-step explanation:step 1Find the volume of the cylindrical canThe volume of the can is equal to[tex]V=BH[/tex]where B is the area of the base of the canH is the height of the canwe have[tex]B=75\ cm^{2}[/tex][tex]H=10\ cm[/tex]substitute[tex]V=(75)(10)=750\ cm^{3}[/tex]step 2Find the volume of the pieces of fruit in the canThe volume of the pieces of fruit in the can is equal to subtract the volume of syrup from the volume of the can[tex]750\ cm^{3}-110\ cm^{3}=640\ cm^{3}[/tex]