Question

Aaron drew a cone that has a volume of 90in.If Armani drew a cylinder with the same

Answer 1

Answer:

Step-by-step explanation:

A cone has a volume formula of $\frac{1}{3} \pi r^{2} h$

A cylinder has a volume formula of $\pi r^{2} h$

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:

$V_{cone} =\frac{1}{3} V_{cylinder} \\90 = \frac{1}{3} V_{cylinder}\\V_{cylinder} = 270$

Thus the volume of the cylinder is 270 cubic inches.

Hope that helps!

Answer 2

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.