Answer:
Step-by-step explanation:
GIVEN: A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of the dome is , and the total height of the building up to the top of the dome is .
TO FIND: what is the approximate total volume of the building.
SOLUTION:
let the height of the mountaintop be
As the dome hemispherical.
circumference of a hemisphere
total height of the building up to the top of the dome
Volume of building
as radius of mountain top is same as dome
putting values
Hence the total volume of the building is
A bisector splits an angle into two equal angles.
The answer is the last one: it splits the angle into two congruent angles.
The opposite angles are equal to are supplementary to each other or equal to each other.
<h3>What is a Quadrilateral Inscribed in a Circle?</h3>
In geometry, a quadrilateral inscribed in a circle, also known as a cyclic quadrilateral or chordal quadrilateral, is a quadrilateral with four vertices on the circumference of a circle. In a quadrilateral inscribed circle, the four sides of the quadrilateral are the chords of the circle.
The opposite angles in a cyclic quadrilateral are supplementary. i.e., the sum of the opposite angles is equal to 180˚.
If e, f, g, and h are the inscribed quadrilateral’s internal angles, then
e + f = 180˚ and g + h = 180˚
by theorem the central angle = 2 x inscribed angle.
∠COD = 2∠CBD
∠COD = 2b
∠COD = 2 ∠CAD
∠COD = 2a
now,
∠COD + reflex ∠COD = 360°
2e + 2f = 360°
2(e + f) =360°
e + f = 180°.
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2,160/150 = 14.4
The diameter is 14.4 inches.