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Answer:
Step-by-step explanation:
A cone has a volume formula of [tex]\frac{1}{3} \pi r^{2} h[/tex]
A cylinder has a volume formula of [tex]\pi r^{2} h[/tex]
So if both of the shapes have the same base and height as in 'h' and 'r' are equal, than the cone has 1/3 the volume of the cylinder.
Thus:
[tex]V_{cone} =\frac{1}{3} V_{cylinder} \\90 = \frac{1}{3} V_{cylinder}\\V_{cylinder} = 270[/tex]
Thus the volume of the cylinder is 270 cubic inches.
Hope that helps!
Answer:
Vol_cylinder = 270 cubic inches
Step-by-step explanation:
Aaron's cone has the Volume
= 1/3BaseArea•height
Armani's Cylinder Volume
= BaseArea•height
The only difference here is the 1/3 in the cone formula.
So the cone volume is 1/3 of the cylinder volume. Or the cylinder volume is 3times the cone volume.
Vol_cone = 90
Vol_cyl = 3•90 = 270
90 is 1/3 of 270.
The cylinder volume is 270 cubic inches.