gmatt1476
Tanks A and B are each in the shape of a right circular cylinder. The interior of Tank A has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B?
(A) 75%
(B) 80%
(C) 100%
(D) 120%
(E) 125%
PS94530.02
Capacity of Tank A as a percent of the capacity of tank B = Capacity (Volume) of Tank A / Capacity (Volume) of Tank B *100
Since both are right circular cylinder (Volume = pi . r^2. h)
We have the height for both tanks however we need to figure out the radius of each of these. In order to find out the radius we will need to use the information of circumference.
Length of Circumference for Tank A = 2 . Pi. R
8 = 2. Pi. R
R= 4/Pi
Similarly Length of Circumference for Tank B = 2 . Pi. R
10 = 2 Pi R
R = 5 / Pi
Now Volume of Tank A / Vol of Tank B =\( (Pi (4/pi)^2. 10 )/ (Pi (5/pi)^2 .8)\)
After Cancelling out it comes out to
4/5 = 80%