To test his assistant, noted adventurer Dakota Davis states that the volume of the regular hexagonal ring at right is equal to the volume of the regular hexagonal hole in its center. The assistant must confirm or refute this, using dimensions shown in the figure. What should he say to Dakota?

He should refute the affirmation, because the volumes are different.

Step-by-step explanation:

The area of a regular hexagon is given by the equation:

And the volume is given by:

The volume of the internal hexagon hole is given by:

The volume of the ring is given by the volume of the bigger hexagon minus the volume of the internal hexagon:

The volumes are different, so the assistant should refute Dakota.

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

use formula for the circle a=3.14

step-by-step explanation: