A spherical balloon is being deflated at a rate of 80 cm³/min. At what rate is the radius decreasir when the radius is 8 cm?

Q: A spherical snowball melts at a rate of 36π^2in³/sec. At what rate is the radius of the snowball…

A:

Q: Coffee is draining out of a conical filter at a rate of 2.25 in3>min. If the cone is 5 in tall…

A: Given: The change in volume for the filter is -2.25 in3/min The change in volume for the coffee pot…

Q: A balloon is being inflated. If its volume increases at the rate of 5cm^3/sec, how fast is the…

A:

Q: An engineer is experimenting with a cylindrical can with a fixed height of 15 in. Find the rate of…

A: GIVEN-  A CYLINDER OF HEIGHTS 15 inch is given AND RADIUS =4 inch TO FIND -  RATE OF CHANGE OF…

Q: The radius of a sphere decreases at a rate of 1 m/se decreases when the radius is 15 m

A:

Q: A pulley having a diameter of 36 cm is turned by a belt that moves at the rate of 5 m/sec. How many…

A: In one revolution the pulley will rotate by an angle of 360°. Hence, the belt will cover a distance…

Q: A spherical balloon is being filled with air at the constant rate of (2 cm3)/(sec). How fast is the…

A: Given that  A spherical balloon is being filled with air at the constant rate of (2 cm3)/(sec). This…

Q: 2. A spherical snowball melts at a rate of 367T in /sec. At what rate is the radius of the snowball…

A:

Q: The ice cream in a sugar cone (conically shaped) has all melted and is dripping out a hole in the…

A: To express r in terms of h, use the the ratio between the height and radius of the cone is constant…

Q: Find the rate at which the surface area of the water changes when the water is 10 ft high if the…

A:

Q: A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant…

A:

Q: The radius of a spherical balloon is decreasing at a rate of in/sec.

A: Radius of balloon = r = 4 inchesDecreasing rate of balloon = drdt = -2πinches/secondVolume of…

Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of 10 cm/min.…

A:

Q: The sides of a square increase in length at a rate of 3 m/sec. a. At what rate is the area of the…

A: lets the size of square is l so the rate of change of length = dl/dt = 3 m/sec area of square = l2…

Q: Question 4

A: Let a be the acceleration, v be the velocity, s be the position and t be the time of braking.

Q: A water tank has the shape of an inverted circular cone with base radius 2 m and height 4 m. If…

A:

Q: A spherical snow ball is being made so that its volume is increasing at the rate of 8 ft /min. What…

A: given: dVdt=8 ft3 /min We have to find drdtwhen diameter of snowball is 4 ft i.e, radius= 2ft we…

Q: A spherical balloon is being inflated at the rate of 12m3 /min. If the radius of the balloon is 6m,…

A:

Q: A water heater that has the shape of a right cylindrical tank with a radius of 1 ft and a height of…

A: The right cylindrical tank has radius 1ft and height 4 ft. The water in it is draining at the rate…

Q: If a snowball melts so that its surface area decreases at a rate of 2 cm2/min, find the rate at…

A:

Q: pherical balloon is to be deflated so that its radius decreases at a constant rate of 15 cm/min. At…

A: The radius of the balloon decreases at the rate of =15 cm/min let radius of balloon =r then…

Q: Sugar juice is filtering through a conical funnel 20cm deep and 12cm across the top into a…

A: Given that,Sugar juice is filtering through a conical funnel 20cm deep and 12cm across the top into…

Q: Water is being poured at the rate of 27 m²/min. into an inverted conical tank that is 12-meter deep…

A:

Q: a water tank has the shape of an inverted circular cone with a base radius of 2m and a height of 4m.…

A:

Q: Sand is leaking through a small hole at the bottom of a conical funnel at the rate of 12rcm³ / s. If…

A: Given: Radius of the funnel r=8 cm. Height of the funnel h= 16 cm. rate of change of volume…

Q: A Fluid flows in an inverted conical tank, 14 in diameter on top and 24in deep at a rate of…

A:

Q: The volume of a cube is increasing at the rate of 8 cm /sec.How fast is the surface area in creasing…

A: We can find the answer as below

Q: A Helium is being pumped into a spherical balloon at a rate of 12cm³/min. Determine the rate at…

A:

Q: A spherical party balloon is being inflated with helium pumped in a rate of 7 cubic feet per minute.…

A: Given,           A spherical party balloon is being inflated with helium pumped in a rate of 7 cubic…

Q: A Ferris wheel with a radius of 13m is rotating at a rate of one revolution every 2 minutes. How…

A: Given thatRadius of the Ferris wheel is 13 mThe time period of the Ferries wheel is 2 min To find…

Q: If a snowball melts so that its surface area decreases at a rate of 1 cm²/min, find the rate at…

A: 1) Let A be the surface area  r = radius of the sphere D = diameter of sphere = 10 cm…

Q: Imagine a sphere whose radius r increases at a rate of 3 cm/s. At what rate is the volume V of the…

A: Note the results : Volume of the sphere is 43πr3 . Suppose F is a function of x and x is a function…

Q: A spherical snowball is made so that its volume is increasing at a rate of 8 cubic feet oer minute.…

A: I set these up this way. what do we know?  dVdt= 8 ft 3/min What do we want?  drdt = ?   when d = 4…

Q: a spherical balloon is filled with gas at a rate of 300 mm3/sec. Find the rate at which the surface…

A:

Q: A spherical balloon is being inflated at a rate of 9(pi)cm^3/sec. At what rate is its radius…

A:

Q: A conical cistern of height 5 ft and 7 ft across the top is being filled at a rate of 5 ft3/s while…

A: A conical cistern is given whose height is 5 ft and diameter at the top is 7 ft. A conical cistern…

Q: ) A snowball is melting at a rate of 1 cm3 per second. If it remains spherical, how fast is the…

A:

Q: 15. Water is being poured at the rate of 150 cm³/s into an inverted cone with a diameter of 3 meters…

A:

Q: If the radius of a sphere increases at a rate of 0.5 m/sec, then the rate at which the volume of the…

A: Let the radius of the sphere be r. Then the volume of the sphere is: V=43πr3…

Q: Water is pouring into a conical vessel 15 cm deep and having a radius of 3.5 cm across the top. If…

A: Given the water is pouring into a conical vessel of 15 cm deep and the radius of 3.5 cm across the…

Q: A 90 kg man lying on a surface of negligible friction shoves a 81 g stone away from himself, giving…

A: Explanation of the answer is as follows

Q: Sand is leaking through a small hole at the bottom of a conical funnel at the rate of 12rcm³ /s. If…

A: Given-  dVdt=12π cm3sec.,R=8 cm and H=16 cm To find- depth of sand after 15seconds and the rate of…

Q: If a snowball melts so that its surface area decreases at a rate of lcm²/min, find the rate at which…

A: Snowball represents a sphere So , Surface Area of sphere is 4πr2.  And , d=2r.  Using this we solve…

Q: A conical glass whose radius is 5m and altitude 12m is being filled at the rate of 10 cu. m/sec. How…

A:

Q: A spherical balloon is being filled with air at the constant rate of 2 cm³ How fast is the radius…

A: Given that The spherical balloon is being filled with air at constant rate of 2cm3/sec. Since the…

Q: Air is being pumped into a spherical balloon at a rate of 4 cm3/min. Determine the rate at which the…

A:

Q: A spherical balloon is being inflated at the rate of 12m /min. If the radius of the balloon is 6m,…

A:

Q: The spherical balloon is being filled with air at the constant rate of ( 2cm3  ) / (sec). How fast…

A: Given: The spherical balloon is being filled with air at the constant rate of 2cm3/sec We know that,…

Q: coffee is draining out of a conical filter at a rate of 2.25 inches cubed per minute. If the cone is…

A: given: coffee is draining out of a conical filter at a rate of 2.25 inches cubed per minute. If the…