Please help with the following questions
1 answer:
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Notice the picture below
the AD line is a bisector, cutting the 36 degrees A in half,
18 and 18 degrees each half
notice the tickmarks, the triangle is an isosceles,
if those two sides are equal, so are the angles they make
down below with the base
now, the base is 8, AD is bisecting that too, to 4 and 4
now, using the Law of Sines
keep in mind, the angles are in degrees, so, when taking the sines, make sure your calculator is in Degree mode
the AD line is a bisector, cutting the 36 degrees A in half,
18 and 18 degrees each half
notice the tickmarks, the triangle is an isosceles,
if those two sides are equal, so are the angles they make
down below with the base
now, the base is 8, AD is bisecting that too, to 4 and 4
now, using the Law of Sines
keep in mind, the angles are in degrees, so, when taking the sines, make sure your calculator is in Degree mode
1885.5 m^3 of water will fill the container.
To find how many cubic feet of water will it contain:
Given -
- Lauren has an above-ground swimming pool.
- The water level in the pool must be 4 inches above the pool's surface in order for the skimmer to function properly.
- π = 3.14
The pool comprises a 12-foot-radius cylinder with a height of 4.5 feet.
- Height of pool = 4.5 ft
- Radius of pool = 12 ft
- The height of the water is 4 inches below the pool top
- 12 inches make 1 ft
- 4 inches = 4/12 ft = 0.33 ft
- Therefore, height of water = 4.5 - 0.33 = 4.17 ft
The volume of the water in this section of the cylinder will be equal to the volume of the cylinder formed.
- The volume of the cylinder formed by the water = volume of water =
- volume = 3.14 x
x 4.17 = 1885.5 m^3 of water
Therefore, 1885.5 m^3 of water will fill the container.
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The complete question is given below:
Lauren has an above-ground pool. To keep the pool's skimmer working well, the water level must be 4 inches from the top of the pool. When the pool is filled to this recommended level, approximately how many cubic feet of water will it contain? Use π = 3.14
A cylinder with a radius of 12 feet and a height of 4.5 feet.