Assuming that means the diameter is 6in
so then
vsphere=(4/3)pir^3
r=d/2
d=6
6/2=3=r
vcube-vsphere=space
vcube=side^3=6^3=216
vsphere=(4/3)pi3^3=36pi=113.093755
space=216-113.083755=102.9026644707 cubic inches of empty space
From the diagram, we are given that triangle ABC and triangle ADC shares the same side AC, so it means both triangles have one congruent side.
We are also given that angle BAC and angle DAC are equal.
If we want to prove the triangles congruent using Angle-Angle-Side congruent postulate, we need to see one angle in each triangle that is congruent. We will need the information either: ACB = ACD or ABC = ADC
Correct answer: fourth option
Tan 25.5 = h/x
Tan 20.5 = h / x+1
x tan 25.5 = (x+1) tan 20.5
x 0.476975532 = (x+1) 0.373884679
0.476975532x = 0.373884679x + 0.373884679
Deduct both sides by .373884679
0.103090853x = 0.373884679
x = 3.6267 is the first person.
Add one to get for the second person
X = 4.6267
