Respuesta :
Answer:
The total volume of the pieces of fruit in the can is [tex]640\ cm^{3}[/tex]
Step-by-step explanation:
step 1
Find the volume of the cylindrical can
The volume of the can is equal to
[tex]V=BH[/tex]
where
B is the area of the base of the can
H is the height of the can
we have
[tex]B=75\ cm^{2}[/tex]
[tex]H=10\ cm[/tex]
substitute
[tex]V=(75)(10)=750\ cm^{3}[/tex]
step 2
Find the volume of the pieces of fruit in the can
The 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]
The volume of the cylinder is defined as the product of the base or height.
The total volume of the pieces of fruit in the can is 640 cubic cm.
Given
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 then the total volume of the pieces of fruit.
What is the volume of a cylinder?
The volume of the cylinder is defined as the product of the base or height.
The volume is the cylinder is given by;
[tex]\rm Volume \ of \ the \ cylinder = Base \times Height[/tex]
Substitute all the values in the formula;
[tex]\rm Volume \ of \ the \ cylinder = Base \times Height\\\\\rm Volume \ of \ the \ cylinder = 75 \times 10\\\\\rm Volume \ of \ the \ cylinder = 750[/tex]
Therefore,
The total volume of the pieces of fruit in the can is,
[tex]= 750 -110\\\rm \\=640 \ cm^3[/tex]
Hence, the total volume of the pieces of fruit in the can is 640 cubic cm.
To know more about the Volume of Cylinder click the link given below.
https://brainly.com/question/14013015
