Question

a
cone with a radius of 5 ft and height 8 ft is leaking 2 cubic feet
of water per second how fast is the radius of the surface of the
water decreasing when the depth of the water is 4 ft

Answer #1

related rates
An upside down cone is being emptied at the rate of 4 cubic feet
per second. The height of the cone is 20 feet and the radius is 6
feet. Find the rate of the change of water level when the depth is
12 feet.
List any restrictions if any involving this related rates
question...?
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information required to solve your problem?

Water is being poured into a cone-shaped container with radius 4
inches, and height 4 inches. When the depth of the water is 3
inches, it is increasing by 3in/min. At what time, how fast is the
surface area, A, that is covered by water increasing?

Suppose water is leaking from a tank through a circular hole of
area
Ah
at its bottom. When water leaks through a hole, friction and
contraction of the stream near the hole reduce the volume of water
leaving the tank per second to
cAh
2gh
, where
c (0 < c < 1)
is an empirical constant.
A tank in the form of a right-circular cone standing on end,
vertex down, is leaking water through a circular hole in its...

A paper cup in the shape of a cone with height 5 cm and radius 3
cm with the point of the cone at the bottom. A small leak develops
in the cup causing water to leak out at a rate of 0.1
cm3/s. Find the rate at which the height of the water in
the cup changes when the depth of the water is 2 cm. Recall that
the volume of a cone is v=1/3(pi)(r2)h

The radius of a cone is decreasing at a constant rate of 5
centimeters per minute, and the volume is decreasing at a rate of
148 cubic centimeters per minute. At the instant when the radius of
the cone is 22 centimeters and the volume is 21 cubic centimeters,
what is the rate of change of the height? The volume of a cone can
be found with the equation V=1/3 pi r^2h. Round your answer to
three decimal places.

Consider the following container. It is a cut cone with a top
radius of 7 ft and a bottom radius of 3 ft. It has a height of 12
ft and water (density 62.5 lb/ft^3) is currently in the container
to a depth of 5 ft. There is a spout on this container at the
top.
Write down but DO NOT EVALUATE an integral to find the work
necessary to pump all the water in this container up out of...

1) A cylindrical tank with a radius of 10 feet and a height of
20 feet is leaking. An observer notices that the height of the tank
is goinf down at a constant rate of 1 foot per second. At what rate
is the water leaking our of the rank (measured in volume) when the
height of the water is 5 feet? The colume of a cylinder of height h
and radius is V=pi*r2*h.
a. -314
b. - 1,245
c....

Sand pours out of a right, conical container at a rate
of 24 cubic feet per minute. The initial height of the sand cone is
30 feet and the initial radius is 15 feet. When the height is 18
feet, the radius is 9 feet. How quickly is the height of the sand
changing when the radius is of the sand cone is 2
feet?

Activity 2: Applications of
the Derivatives
To make a phrase/words, solve the 18 application of derivatives
below. Then replace each numbered blank with the letter
corresponding to the answer for that problem. Show all
solutions on the answers given below.
"__ __ __ __ __ __ __ __ __
, __ __ __ __
__ __ __ __ __
."
1-2. A certain calculus student hit Mr. Pleacher in the head
with a snowball. If the snowball is melting...

Gravel is being dumped from a conveyor belt at a rate of 30
cubic feet per minute. It forms a pile in the shape of a right
circular cone whose base diameter and height are always equal. How
fast is the height of the pile increasing when the pile is 22 feet
high? Recall that the volume of a right circular cone with height h
and radius of the base r is given by V = 1/3πr^2h

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