0
How to solve using trig. Water in a hemispherical bowl with a diameter of 40 cm begins to pour out when the bowl is tilted through an angle of 35 degrees How deep is the water in the bowl?
Iamthelasthuman
As the bowl is hemispherical in share, tilting it does not change the shape of the water, and so its depth remains the same.
When the bowl has been tilted 35o, the distance the lip of the bowl has been lowered can be found using the Sine ratio. This can be subtracted from the height the lip was above the bottom the the bowl (namely the radius of the bowl) to find how deep the water is.
The angle is 35o.
The hypotenuse is the radius of the bowl.
The opposite side is the unknown drop.
sine 35o = drop/20 cm
⇒ drop = 20cm x sine 35o
≈ 11.47 cm
height = radius - drop
≈ 20 cm - 11.47 cm
= 8.53 cm
Wiki User
∙ 12y ago
Add your answer:
Earn +20 pts
What is daimeter?
Daimeter is not a word, but diameter is basically a straight line that passes through the center of a sphere. This line begins at the perimeter and passes completely across the circle.
What is a cord that is drawn from the center of a circle?
A cord that crosses the center of a circle is a diameter, which divides the circle into two equal halves. It is a line segment, and it is the longest cord that can be drawn within a circle.However, if the segment begins at the center rather than crosses through it, and has the other endpoint on the circumference of the circle, it is not a cord, but is a radius of that circle.
What is the correlation between gradient of incline and degrees of the angle in Bruce protocol?
I just called my cardiologist's office for an answer to this one (I'm scheduled for a nuclear stress test that uses the Bruce protocol). Here's what the person who will administer my test told me: It's the percentage of 90 degrees, 0% being no incline, 100% being straight up, perpendicular to the floor. The test begins at 1.7 mph with an incline of 10%, or 9 degrees. The incline is raised every three minutes by 2%, or 1.8 degrees. So at Level 2, the incline is 10.8 degrees, Level 3 12.6 degrees, Level 4 15.2 degrees, etc. -Joe
HOW TO USE A micrometer?
First calibrate the micrometer by dialing the spindle to zero and adjusting the anvil until it is flush against the spindle. Measure the screw until the ratchet begins to click and take the first reading. This reading can then be compared to a machining book to verify the pitch diameter.
The New Testament begins with?
The new testament begins with the book of Matthew.
How long is 1 diameter?
The diameter is the distance of a straight line that passes through the center of a circle or sphere. The measurement begins at one edge and ends at the other edge. It is a unit of measuring such as length or width.
What is daimeter?
Daimeter is not a word, but diameter is basically a straight line that passes through the center of a sphere. This line begins at the perimeter and passes completely across the circle.
What is the temperatureat which water begins to boil?
100 degrees Celsius or 212 degrees Fahrenheit.
Begins mechanical breakdown of food through?
Chewing begins mechanical breakdown of food through mastication
What is the vaporization point or paraffin wax?
Paraffin wax begins to melt at temperatures above 99 degrees Fahrenheit. It begins to boil and produce vapor at approximately 698 degrees Fahrenheit.
What physical land form begins at 35 degrees north latitude and 85 degrees west longitude?
america
Is the boiling point the same as the melting point?
No, boiling point is not the same as melting point. Boiling point is the point at which a liquid begins to become a gas. (Water begins to become water vapor at about 212 degrees fahrenheit, or 100 celsius) Melting point is the point at which a sold begins to become a solid. (Ice begins to become water at about 32 degrees fahrenheit, or 0 degrees celsius)
How to solve using trig Water in a hemispherical bowl with a diameter of 40 cm begins to pour out when the bowl is tilted through an angle of 35 degrees How deep is the water in the bowl?
It would have been much simpler if this browser had halfway decent graphic facilities but it does not so you may have do a few sketches as you go along.. The bowl is tipped by 35 deg so the diameter of the bowl makes a 35 deg angle with the horizontal. The surface of the water must be horizontal and so that makes an angle of 35 deg with the tipped diameter. Therefore [in cross section] the water occupies a segment of a circle such that the angles between the water surface and the radii at both ends on the segment are 35 deg. Therefore the segment subtends an angle of 110 deg at the centre. Also, the radii are 20 cm. In the triangle formed by the water surface and the sides of the segment, the distance from the centre of the bowl to the water surface is 20*sin(35) = 11.47 cm. Therefore, the depth of the water is 20 - 11.47 = 8.53 cm.
What chemical changes happen to water at 98 degrees celsius?
It begins to boil.
At what temperture does sugar turn into caramel?
Sugar caramelizes at about 160 degrees Celsius. But the process begins much earlier in the temperature
If an AC begins rising positive as 0 degrees when will it reach its negative maximum current?
Maximum negative current is at 270 degrees.
What is cut-through architecture?
In a cut-through architecture, the data frame begins to exit the switch almost as soon as it begins to enter the switch.
