Answer:
A company sells tents in two styles, shown below.
The sides and floor of each tent made of nylon.
For tunnel tent:
In a composite figure of tunnel tent :
There are two semi circle, half cylindrical shape and its base is made of Square.
Area of semi-circle is given by:
where r is the radius the circle.
Here, Diameter(d) = 8 feet
We know that: Diameter(d) = 2 r
then;
8 = 2r
⇒ r= 4 ft.
Area of square =
then;
Area of square = square ft
Lateral surface area of cylinder = where r is the radius and h is the height
Here, h = 8 ft
Lateral surface area of half cylinder = square ft
Total Surface area of tunnel tent(S)=2(Area of semi-circle)+(Lateral surface area of half cylindrical)+(Area of square)
Substitute the given values we have;
square ft.
For Pup tent:
Each side of tent = 8 ft
In a figure of Pup tent:
There are 3 square shape and two triangle.
Area of square =
then;
Area of square = square ft
Area of a triangle is given by:
Each side of a triangle is same.
This is an equilateral triangle, and its height is given by:
then;
Area of triangle = square ft.
Substitute the given values we have;
Total surface area of Pup tent(S')
= square ft.
⇒S' > S
therefore, the tunnel tent require less nylon to manufacture.
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, where m- remaining amount of the radioactive material, x - number of hours
= 64.260 (rounded)