The radius of a cylinder is decreasing at a constant rate of 3 feet per second. The volume remains a constant 1192 cubic feet. At the instant when the radius of the
cylinder is 9 feet, what is the rate of change of the height? The volume of a cylinder
can be found with the equation V = arh. Round your answer to three decimal
places.

x/3-10=8

x/3=18

x=48

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value