Question

the base of a solid is a right triangle whose base side has length a and whose perpendicular side has length 1/2a. find the volume of the solid if cross sections perpendicular to the base of the triangle are semicircles

Answer 1

i was thinking that this was going to be half a right cone but then i realized that would only work if the triangle was an isoceles triangle...

Answer 2

is there another type of cone for which this would work ??? or am i approaching the problem incorrectly ??

Answer 3

uh.. maybe it s an oblique cone...

Answer 4

i mean... half of an oblique cone...

Answer 5

Interesting how you've been thinking out loud.
Why not draw the actual base? Present your drawing in the Draw utility, below.
Label the base side of your right triangle 'a' and the other leg (the vertical side) by 'a/2.'

Answer 6

uh... yeah i like to think out loud ...