A partial cylinder lies on its side. The bases are a 90� sector of a circle. What is the exact volume of the partial cylinder?

Question

jhonyy9 · Answer

try drawning it ...

Mercury · Answer

Mercury · Answer

a regular cylinder has bases that are circles (360 degrees). this one has bases that are 90 degrees.

90 degrees out of 360 ---> 90/360 = 1/4

so this cylinder is 1/4 the volume of a regular cylinder with r = 8 and h = 10.

volume of this cylinder: (1/4) (pi)(r^2)(h)
plug in r and h and solve. the answer choices are in terms of pi, so leave pi as is.

answer choices:
-160pi in3
-20pi in3
-80pi in3
-40pi in3