The Can that will provide the the largest volume is option (C) Can C
What is Volume?
Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.
Here,
Can A
Radius = 2 inches
Height = 6 inches
Volume = [tex]\pi r^{2}h[/tex]
r is the radius
h is the height
Volume = [tex]\pi (2^{2})(6) =75.39[/tex] cubic inches
Can B
Radius = 2.5 inches
Height = 5 inches
Volume = [tex]\pi r^{2}h[/tex]
Volume = [tex]\pi (2.5^{2})(5)=98.17[/tex] cubic inches
Can C
Radius = 3 inches
Height = 4 inches
Volume = [tex]\pi r^{2}h[/tex]
Volume = [tex]\pi (3^{2})(4)=113.09[/tex] cubic inches
Can D
Radius = 3.2 inches
Height = 3 inches
Volume = [tex]\pi r^{2}h[/tex]
Volume = [tex]\pi (3.2^{2})(3)=96.50[/tex] cubic inches
Hence, the Can that will provide the largest volume is option (C) Can C
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