What is the volume of this cylinder? r=5 cm 12cm
2 answers:
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Answer:
The answer is below
Step-by-step explanation:
The standard form of the equation of an ellipse with major axis on the y axis is given as:
Where (h, k) is the center of the ellipse, (h, k ± a) is the major axis, (h ± b, k) is the minor axis, (h, k ± c) is the foci and c² = a² - b²
Since the minor axis is at (37,0) and (-37,0), hence k = 0, h = 0 and b = 37
Also, the foci is at (0,5) and (0, -5), therefore c = 5
Using c² = a² - b²:
5² = a² - 37²
a² = 37² + 5² = 1369 + 25
a² = 1394
Therefore the equation of the ellipse is:
Answer:
137 ft²
Step-by-step explanation:
The shop is rectangular in shape. The area of a rectangle is given by:
Area = length * width
Since the length of the shop = 20 ft and the width = 10 ft, therefore:
Area of the shop = length * width = 20 ft * 10 ft = 200 ft²
The part that would not be tiled is of triangular shape. The area of a triangle is given as:
Area = (1/2) * base * height
The base of the triangle = 18 ft, the height = 7 ft. Hence:
Area of non tiled part = (1/2) * base * height = (1/2) * 18 ft * 7 ft = 63 ft²
The total square feet of tile needed to complete the job = Area of shop - Area of non tiled part
The total square feet of tile needed to complete the job = 200 ft² - 63 ft² = 137 ft²
