73 Answered Questions for the topic Related Rates
a spherical balloon is being in being inflated at a rate of 3cm^3/s. how fast is the radius increasing when the radius of the balloon is 4cm?
It is about related rates, in the shape of a balloon
A person is 8 meters away from a road and there is a car that is initially 800 meters away approaching the person at a speed of 45 m/sec. At what rate is the distance between the person and the car... more
i need to solve this using related rates.
A boat is pulled in to a dock by a rope with one end attached to the front of the boat and the other end passing through a ring attached to the dock at a point 6 ft higher than the front of the... more
Calculus help for related helps please!!! :)
A lighthouse is stationed at a point P some distance away from the nearest point Q on a straight shoreline. It's light is making 3 revolutions per minute. It is found that the beam of light is... more
Related Rates Questions! Need Help!!
Two trains leave a station at the same time. One travels north on a track at 70 mph. The second travels east on a track at 97 miles per hour. How fast are they traveling away from one another in... more
A child's balloon rises into the air at a rate of 2.5 ft/sec. The child runs over to his mom (5.75 feet from where he lost it) and watches the balloon ascend into the sky. How fast is the angle of... more
Related Rates Question
My circular swimming pool has a 30 foot diameter and is 6 feet tall. The flow rate from my spigot into the pool is about 1.84 feet per minute. How fast is the water level, h, rising at the moment... more
What is The actual speed (along the road) of the red car for the measurement feet per second?
A police car is located 30 feet to the side of a straight road.A red car is driving along the road in the direction of the police car and is 210 feet up the road from the location of the police... more
What is The rate of change of the area enclosed between the circle and the square
A circle is inside a square.The radius of the circle is decreasing at a rate of 3 meters per minute and the sides of the square are increasing at a rate of 4 meters per minute.When the radius is 5... more
Find the rate at which the water level is rising when the water level is 2 cm
An inverted pyramid is being filled with water at a constant rate of 70 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 3 cm, and the height is... more
The volume of a cylindrical tin can with a top and bottom is to be 16π cubic inches. If a minimum amount if tin is to be used to construct the can, what must be the height, in inches, of the can?
Related Rates Caclulus
An inverted pyramid is being filled
An inverted pyramid is being filled with water at a constant rate of 65 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 8 cm, and the height is... more
Sand falls from a conveyer belt at a rate of 15m^3/min. How fast is the height changing when the pile is 2m high?
This is a related rates problem using cones. I am in Calculus.
At what rate is water pouring into a rectangular bathtub with base 13 ft2 if the water level rises at a rate of 4 ft/min?
The answer must be in feet cubed per min
James is flying a kite 300 ft above ground. A wind gust carries the kite horizontally away from james at a rate of 25ft per second. How fast must james let the string out when the kite is 500ft... more
A lighthouse is located on a small island 3km away from the nearest point P on a straight shoreline and its light makes four revolutions per minute. How fast is the beam of light moving along... more
Label the diagram and given information, model with an equation, differentiate and evaluate. Then answer the question with correct units. A coffee pot that has the shape of a circular cylinder of... more
Calculus Triangle Related Rate
So I have a problem where there is a right triangle with the height (4500ft) and the rate at which the angle is changing (pi/180radians per second) and I need to find the ground speed. I figured... more
Related rates:Let V be the volume of a cylinder having height h and radius r, and assume that h and r vary with time
Let V be the volume of a cylinder having height h and radius r, and assume that h and r vary with time a.) how are dV/dt, dh/dt, and dr/dt related? dv/dt= f(r,h)dh/dt+g(r,h)=dr/dt, where f(r,h)=?... more
Using derivatives and related rates in calculus?
"Two cars start moving from the same point. One travels south at 48 mi/h and the other travels west at 20 mi/h. At what rate is the distance between the cars increasing two hours later?" This... more
Business Calc Question!!!!
Suppose the quantity demanded weekly of Super Titan radial tires is related to its unit price by the equation, p+x^2 =144 where p is unit price measured in dollars and x is measured in units of a... more
Can someone help me with a related rates problem please?
An oil slick on a lake is surrounded by a floating circular containment boom. As the boom is pulled in, the circular containment area shrinks. If the radius of the area decreases at a constant rate... more
A have a question about related rates from my calculus class may someone help me?
A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant rate of 4ft/s. How rapidly is the area enclosed by the ripple increasing at the end of 12s?