The volume of the spherical dome will be 12.9π cubic feet when the surface area of the dome is 13.924π.
<h3>What is the volume of the sphere?</h3>
The volume of the cone is the amount of quantity, which is obtained in the 3-dimensional space. The dome is the shape of a semi-sphere the volume of the dome will be half of the volume of the sphere.
Given that the Reunion Tower in Dallas, Texas, is topped by a spherical dome that has a surface area of approximately 13,924π square feet.
The volume of the dome will be calculated as below:-
SA = 13.924π
2πr² = 13.92π
r = √6.96
r = 2.63 feet
Volume = 2 / 3 πr³
Volume = ( 2 / 3 ) π ( 2.63)³
Volume = 12.24π cubic feet
Therefore, the volume of the spherical dome will be 12.9π cubic feet.
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Step-by-step explanation:
A coefficent is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. Or in other words, the number being multiplied with the variable. For example, the 4 in 4x.
The expression is -3x + 1. If we go back to the definition, the coefficient is the number combined with the variable.
So the answer is -3.
Hope it helps!
Option (C) -: The hotel floors are parallel to each other, and the elevator moves in a path that is perpendicular to them both.
<h3>What is parallel and perpendicular ?</h3>
In geometry two lines are parallel to each other when they have no intersecting point and the distance between them is constant.
Two lines are perpendicular if they have an intersecting point and they intersect each other at at 90°.
From the given figure we can observe the distance between the floor ceiling of 3rd and 6th floor is constant therefore they are parallel to each other.Now if we imagine the elevator going up and down an imaginary line (meeting line of two elevator doors) would intersect them at an angle of 90°.
∴The hotel floors are parallel to each other, and the elevator moves in a path that is perpendicular to them both.
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