What is the volume of the shaded portion of the composite figure? Express your answer in terms of r.
15
12
O 5197 units
O 681 units
O (6001 - 81) units
O (600 - 814) units
10

hi! i think the answer is 1/2 : )

32.5 is the answer i got thats the answer

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough