What is the volume of the sphere in terms of r?
V= 288 pie in.^3

Volume of sphere is calculated by:

V = (4/3) x pi x radius^3

  = (4/3) x pi x 6^3

  = 144 x pi = 904.78 (in3)

Hope this helps!

:)

a

step-by-step explanation:

the answer is a

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4