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The volume of a cone varies jointly as the height and the square of the radius of the base. A cone height 8 cm and a base of diameter 9 cm has volume 54π. Find the constant of variation and use it to develop the general formula for the volume of a cone.
Important information about Probability and Statisics. Find the probability that a randomly selected adult has an IQ between 90 and 110
The purchasing power of a dollar is decreasing at the rate of 7.3% annually, compounded continuously. How long will it take for the purchasing power of $1.00 to be worth $0.42? Round answers to the nearest hundredth.
How fast is the radian measure of the angle between the ladder and the ground changing at the moment when the bottom of the ladder is 12 feet away from the wall?
Two forces of 255 N and 325 N act on an object. The angle between the forces is 64 degree. Find the magnitude of the resultant and the angle that it makes with the smaller force.
You have a wire that is 38 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What i..
Please explain how to solve the following: Use the disk method to verify that the volume of a right circular cone is 1/3pir^2h.
A test consists of 810 true or false questions. If the student guesses on each question, what is the standard deviation of the number of correct answers?
The officejet printer can copy Maria's dissertation in 16 min. The laser Jet printer can copy the same document in 12 min. If the two machines work together, how long would they take to copy the dissertation?
For a given event, if the payoffs for alternatives 1, 2, and 3 (the only alternatives) are 50, 125, and -50 respectively, what is the regret associated with alternative 1?
A female student wants to determine whether or not students at the college like the cafeteria's food. This student uses a random number generator to help randomly select students in the cafeteria during lunch hour.
Determine the length of pipe that a gas company will need to connect a house which is situated at the point (-6,8) to a gas line whose equation is y=-3x+2.
Find how much radioactive material remains after 8 hours. Round your answer to the nearest thousandth.
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