A spherical balloon is being inflated at a rate of 20 cubic centime- ters of air per second. How fast is the radius of the balloon increasing when the radius of the balloon is 30 centimeters?

Q: A balloon is being inflated by pumped air at the rate of 2 cubic inches per second. How fast is the…

A: Given: Rate at which air is pumped in the balloon=2 cubic inches per second……1   To find: Rate of…

Q: A cylindrical tank with radius 6 m is being filled with water at a rate of 3 m³/min. How fast is the…

A:

Q: The sides of a square are increasing at the rate of 2 inches per minute. How fast is the Area…

A: Given The side of square is increasing at rate of 2inches per minute.  The area of a square with…

Q: A 13-foot ladder is resting against a wall and the bottom is initially 10 feet away from the wall.…

A: To find- rate at which its top moving up the wall.

Q: A 10​-foot ladder is leaning against a vertical wall​ when Jack begins pulling the foot of the…

A: The given data can be expressed in a right triangle as shown below.

Q: The volume of a right circular cylinder is 60 cm3 and is increasing at 2 cm3/min at a time when the…

A: First we have to differentiate expression of volume with respect to time.

Q: A small balloon is released at a point 60 feet away from an observer, who is on level ground. If the…

A:

Q: A pole that is 6625 feet long is leaning against a brick wall. The bottom of the pole is getting…

A:

Q: A spherical balloon is being filled with air at a constant rate of 3 cm3/s. How fast is the radius…

A: Let,Volume of sphere = VRadius of sphere = rRate at which the volume of sphere is increasing = dVdt…

Q: The radius of a sphere is increasing at a rate of 3 mm/s. How fast is the volume increasing when the…

A:

Q: The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the…

A: Given that the diameter= 100 mm So the radius is=r=1002=50 mm Given that the radius of a sphere is…

Q: A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate of 3…

A: Given that:Rate of increase of radius, drdt=3 ft/s

Q: Suppose an elastic rubber band is used to make a square, and is being stretched (while keeping the…

A: An elastic rubber band is being stretched (while keeping the square shape) at the rate of 2 inches…

Q: A 25-foot ladder is leaning against a wall and the base begins to fall away from the wall. When the…

A: A 25-foot ladder is leaning against a wall and the base begins to fall away from the wall. When the…

Q: A screen saver displays 3 cm x 5 cm and then expands it in such a way that the length of the longer…

A:

Q: Suppose the sides of a cube are expanding at a rate of 2 inches per minute, How fast is the volume…

A:

Q: A spherical balloon is inflated with gas at a rate of 10 cubic metres per minute. How fast is the…

A:

Q: A 46 ft ladder is leaning against a vertical wall when Jack begins pulling the foot of the ladder…

A:

Q: A cylindrical tank of radius 10 feet is being filled with wheat at the rate of 314 cubic feet per…

A: consider the radius of a cylindrical tank by r. The volume of a cylindrical tank is given as V. The…

Q: A 17 feet ladder is leaning against a wall. if the bottom of the ladder is pulled along the ground…

A: Given:- A 17 feet ladder is leaning against a wall. if the bottom of the ladder is pulled along the…

Q: The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the…

A: Let be the volume and r be the radius of the sphere respectively.

Q: The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing when the…

A: Volume of sphere= =43πR3 where R is the Radius of the sphere.

Q: The top of a 22 foot ladder, leaning against a vertical wall, is slipping down the wall at the rate…

A:

Q: A cylindrical tank with radius 3 m is being filled with water at a rate of 3 m³/min. How fast is the…

A:

Q: A conical reservoir is losing water at the rate of 12 cubic feet per minute. If the radius is % the…

A: Let the height of the conical reservoir be h. Then the radius will be = h/4 Therefore we get the…

Q: Air is being pumped into a spherical balloon so that it volume increases at a rate of 100 cubic cm /…

A:

Q: A spherical balloon is increasing in volume at 24t Cm . How fast is the radius ст S. of the balloon…

A:

Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

A:

Q: A 20 foot ladder leans against a vertical wall. If the base of the ladder is pulled away from the…

A:

Q: Suppose the radius of a sphere is expanding at a rate of 3 inches per minute. How fast is the volume…

A: Let V & r be the volume and radius of the sphere at any time t respectively. Given that, the…

Q: A 30-foot ladder is leaned up against a 2-story building with 8-foot floors. The bottom of the…

A: Consider the diagram below with marked information: Speed of change in base is 6 feet per second.

Q: A ladder 20 feet long is leaning against a vertical wall. The base of the ladder is pulled away from…

A: First we formulate an equation involving two variables x and y by using  the Pythagorean theorem…

Q: A cylindrical tank with radius 5 m is being filled with water at a rate of 2 m3/min. How fast is the…

A:

Q: A small balloon is released at a point 150 feet away from an observer who is on level ground. If the…

A: we have to find

Q: A 15 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

A:

Q: A spherical iron ball 8cm in diameter is coated with a layer of ice of uniform  thickness. If the…

A: Given data:- The diameter of the iron ball is, 8 cm The thickness of the coating is, 2 cm The rate…

Q: A 20-foot ladder is leaning against a vertical wall. Suppose the base of the ladder slides away from…

A:

Q: how

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Q: A conical cup is 4 cm across and 6 cm deep. Water leaks out of the bottom at the rate of 2 cm3 /sec.…

A:

Q: Suppose an elastic rubber band is used to make a square, and is being streched (while keeping the…

A:

Q: A 20-ft ladder is leaning against a wall, and the top of the ladder is sliding down the wall at a…

A: We have been given a 20ft ladder which is leaning against a wall and is sliding down the wall AD.…

Q: A pole that is 74 feet long is leaning against a brick wall. The bottom of the pole is getting…

A: This question is related to rate of change, we will solve it using given information.

Q: a 10-foot ladder is leaning against a vertical wall when Jack begins pulling the foot of the ladder…

A:

Q: A 27 ft ladder is leaning against a vertical wall when Jack begins pulling the foot of the ladder…

A:

Q: Air is being pumped into a spherical balloon so that its volume increases at a rate of 50 cm3/s. How…

A: Let radius of the balloon is =r and diameter =d=30 cm It is given that Volume increases at rate…

Q: A 25 -foot ladder is leaning against a vertical wall​ when Jack begins pulling the foot of the…

A:

Q: The volume of a cube is increasing at the rate of 2 cubic inches per minute. How fast is the surface…

A:

Q: The base of a 20-foot ladder is sliding toward a wall at a rate of 1.5 feet per second. How fast is…

A: We solve the above problem.

Q: Helium is pumped into a spherical balloon at a constant rate of 3 cubic feet per second. How fast is…

A:

Q: The radius of a sphere is increasing at a rate of 4mm/s.How fast is the volume increasing when the…

A: Given that the radius of a sphere is increasing at a rate of 4mm/s. That is, Now consider the…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.