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Jade scooped sand from a completely filled cylinder using cone shaped container. The Cylinder had a diameter of 12 inches and a height of 5 inches, and was one-fourth full after she scooped one full scoop of sand. What were the dimensions of the cone shaped container? Use 3.14 to approximate pi.

Ah=5in; r = 9in
Bh= 9.6 ; r = 15 in
Ch = 11.25 in; r = 12 in
Dh =15 in ; r = 6 in

Verified Answer :

eternal3fear

Volume of a Cylinder = pi radius radius height
radius = diameter / 2 = 12 / 2 = 6
height = 5
so Volume of this Cylinder = 665 pi = 180 pi

one fourth full after being scooped
so Volume of Cone = (1 - 1/4) Volume of Cylinder
 = 3/4 Volume of Cylinder = 3/4 180 pi = 135 pi
so Volume of this Cone = 135 pi

equation for Volume of Cone = (1/3) radius radius height pi
we set this equal to the value you just got
135 pi = (1/3) radius radius height pi
you can cancel pi from both sides
and multiply both sides by 3
(radius radius height) = 405

now let's see which options fit this!
A. 9  9  5 = 405
B. 15 15 9.6 = 2160
C. 12 12 11.25 = 1620
D. 6 6 15 = 540

So the only one that matches is A