A roof has a cross section that is a right triangle. The diagram shows the approximate dimensions of this cross section. Find th
e height h of the roof. Round your answer to the nearest tenth.
1 answer:
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Answer:
The correct answer is:
The volume of the triangular prism is equal to the volume of the cylinder
Step-by-step explanation:
Given that there are two figures
1. A right triangular prism and
2. Right cylinder
Area of cross section of prism is equal to Area of cross section of cylinder.
Let this value be <em>A</em>.
Also given that Height of prism = Height of cylinder = <em>6</em>
Volume of a prism is given as:
Cross section of cylinder is a circle.
<em>Area of circle</em> is given as:
Area of cross section, A =
Volume of cylinder is given as:
From equations (1) and (2) we can see that
Hence, the correct answer is:
Volume of prism is equal to the volume of cylinder.
This is an isosceles triangle. Therefore, at the base we have congruent angles (look at the picture).
We have the equation:
(5x + 13)° + (3x + 7)° = 180°
5x + 13 + 3x + 7 = 180 <em>combine like terms</em>
(5x + 3x) + (13 + 7) = 180
8x + 20 = 180 <em>subtract 20 from both sides</em>
8x = 160 <em>divide both sides by 8</em>
<h3>x = 20</h3>