Question
In: Math
An open cone is filled completely with water and is oriented with its vertex facing downward....
An open cone is filled completely with water and is oriented with its vertex facing downward. The cone has a base diameter of 6 inches and a height of 12 inches. Assume the cone starts leaking water from its vertex at a constant rate of 3? in3/hr.
a.Find an equation for the volume of water in this cone in terms of the height only.
b.Find the height of the water in the cone four hours after the water started leaking.
c.Using correct units, find the rate of change in the height of the water in the cone at the time from 2b.
d.Using correct units, find the change of the cross-sectional area of the top of the water in the cone at the time from 2b.
Solutions
milcah answered 1 year agoRelated Solutions
A spherical ball was completely immersed into an inverted right circular cone full of water. After...
A spherical ball was completely immersed into an inverted right
circular cone full of water. After the ball was removed it was
found out that the water surface had dropped 6 cm. below the top of
the cone. The diameter of the cone is 12 cm. and its altitude is 36
cm. Determine the wet area (in cm^2) when the cone is full.
A large storage tank, open to the atmosphere at the top and filled with water, develops...
A large storage tank, open to the atmosphere at the top and
filled with water, develops a small hole in its side at a point
17.1 m below the water level. If the rate of flow from the leak is
2.30 ? 10?3 m3/min, determine the following.
(a) Determine the speed at which the water leaves the hole.
m/s
(b) Determine the diameter of the hole. mm
A large storage tank, open to the atmosphere at the top and filled with water, develops...
A large storage tank, open to the atmosphere at the top and
filled with water, develops a small hole in its side at a point
13.9 m below the water level. If the rate of flow from the leak
is3.00 ✕ 10−3 m3/min, determine the
following.
(a) Determine the speed at which the water leaves the
hole.
m/s
(b) Determine the diameter of the hole.
mm
A large storage tank, open to the atmosphere at the top and filled with water, develops...
A large storage tank, open to the atmosphere at the top and
filled with water, develops a small hole in its side at a point
13.9 m below the water level. If the rate of flow from the leak
is3.00 ✕ 10−3 m3/min, determine the
following.
(a) Determine the speed at which the water leaves the
hole.
m/s
(b) Determine the diameter of the hole.
mm
A large storage tank, open to the atmosphere at the top and filled with water, develops...
A large storage tank, open to the atmosphere at the top and
filled with water, develops a small hole in its side at a point
11.6 m below the water level. Assume the tank is large so the
velocity of the water at the top of the tank is zero. The rate of
flow from the leak is 2.53×10−3 m3/min.
(a) Determine the speed at which the water leaves the hole.
(b) Determine the diameter of the hole (in millimeters)....
Consider a firm facing a downward-sloping demand curve for its product given by: ?(?)=10−? where 0≤?≤10...
Consider a firm facing a downward-sloping demand curve for its
product given by: ?(?)=10−?
where 0≤?≤10 denotes the price of the firm’s output. The firm
produces its output under a constant marginal cost of ?=1.
a) Write down the firm’s profit-maximization problem assuming
the firm’s choice variable is quantity. Find the firm’s
profit-maximizing price and quantity.
b) Based on your answers to part (a), find the firm’s equilibrium
profits. sketch the firm’s demand, marginal revenue, and marginal
cost functions.
A glass tube filled with water is used to guide light along its length. What is...
A glass tube filled with water is used to guide light along its
length. What is the NA of the guiding system? Refractive Index of
glass and water is 1.5 and 1.33 respectively.
A 30 gallon cylindrical drum is filled with water and is slowly drained from its base....
A 30 gallon cylindrical drum is filled with water and is
slowly
drained from its base. Let h = the height of water left in
the
drum. If the empty drum has a height of 1.4 meters and a
mass of 100 kg, calculate: (a) the mass of water in the drum;
(b) the radius of the drum; (c) the height of the c.o.m. of
the
drum plus water left in the drum, as a function of h. (d) At...
(20.1) A very large tank of water with its top open to the air has a...
(20.1) A very large tank of water with its top open to the air
has a small hole in its side. The hole lies at a depth of 9.8m
below the top surface of the water. Compute the speed with which
water spurts out of the hole. [Take g = 10m/s2 and assume that the
hole is small enough that the water level in the tank is changing
very slowly.]
(20.2) Modern construction standards require that roofs be
securely attached...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Compare the key components inherent in the national health insurance financing systems of two (2) different...
- Case – Bromiis Inc. Bromiis Inc., is an international ethical medical research drug manufacturer that specializes...
- Which psychological traps do you believe need to be watched for most in making smart decisions...
- A 500-kV, 60 Hz, three-phase completely transposed overhead line has three ASCR 1113-kcmil conductors per bundle,...
- Explain the difference between an acute and chronic wound. Explain the difference between healing by primary...
- The company wishes to maximize the total revenues. Can you comment without doing any calculations whether...
- Use Minitab to answer the questions. Make sure to copy all output from the Minitab: Followings...
ADVERTISEMENT