A cylindrical glass of water with diameter 3.5 in . sits on a horizontal counter top. a. Write an equation of the circular surface of the water. Assume that the origin is placed at the center of the circle. b. If the glass is tipped 30 ° , what shape will the surface of the water have? c. With the glass tipped 30 ° , the waterline makes a slope of 1 2 with the coordinate system shown. Determine the length of the major and minor axes. Round to 1 decimal place.
A cylindrical glass of water with diameter 3.5 in . sits on a horizontal counter top. a. Write an equation of the circular surface of the water. Assume that the origin is placed at the center of the circle. b. If the glass is tipped 30 ° , what shape will the surface of the water have? c. With the glass tipped 30 ° , the waterline makes a slope of 1 2 with the coordinate system shown. Determine the length of the major and minor axes. Round to 1 decimal place.
Solution Summary: The author explains the equation of the circular surface of water in a cylindrical glass of diameter 3.5in that sits on the horizontal counter top.
A cylindrical glass of water with diameter
3.5
in
.
sits on a horizontal counter top.
a. Write an equation of the circular surface of the water. Assume that the origin is placed at the center of the circle.
b. If the glass is tipped
30
°
,
what shape will the surface of the water have?
c. With the glass tipped
30
°
,
the waterline makes a slope of
1
2
with the coordinate system shown. Determine the length of the major and minor axes. Round to 1 decimal place.
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
A cylindrical glass of water with diameter 3.5 in. sits on a horizontal counter top.
3.5 in.
130
3.5 in.
a. Write an equation of the circular surface of the water. Assume that the origin is placed at the center of the circle.
b. If the glass is tipped 30°, what shape will the surface of the water have?
c. With the glass tipped 30°, the waterline makes a slope of with the coordinate system shown. Determine the length of
the major and minor axes. Round to 1 decimal place.
Automotive Design. The angle o formed by a car's windshield and dashboard is such that tan® = V3. If the vertical distance y
between the top of the windshield and the horizontal plane of the dashboard is 5 feet, what is the length of the windshield?
Windshield
Dashboard
Round your answer to two decimal places.
The length of the windshield is
i
ft.
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