B. How rapidly will the water level inside a vertical cylindrical tank if we pump the water out at the rate of 6000 L/min.? (assume the radius of the tank - 2m).

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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…

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A: Since you have asked multiple questions in a single request we will be answering only the first…

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Q: 8. If a snowball melts so that its surface area decreases at a rate of 4 cm2 /min , find the rate at…

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Q: The side of a cube decreases at a rate of 8 m/sec. Find the rate at which the volume changes, when…

A: given that a side of cubedecreases at a rate of 8m/sfind the rate at which the volume changes when…

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Q: If a snowball melts so that its surface area decreases at a rate of 7 cm2/min, find the rate at…

A: Solve using increasing & decreasing function.

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A: At any time t, let the height of the water be h ft and the radius of the cone formed by the volume…

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A: Given: Water flows at the rate of 2000 cubic cm per second into a vertical cylindrical tank 120 cm…

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Q: If the rate of change of the surface area of a sphere with respect to its radius is 16pi sq cm, find…

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Q: The side of a cube decreases at a rate of 9 m/sec. Find the rate at which the volume changes, when…

A: If the rate is decreasing then it will be the negative.

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

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Q: 5. A rectangular trough is 10 ft long and 3 ft wide. Find how fast the surface rises, if water flows…

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Q: How fast is the bicycle traveling in miles per​ hour? (Hint: 5280 ft=1 mi)

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Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

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Q: Water is flowing into a vertical cylindrical tank at the rate of 5cu.ft/min. if the radius of the…

A: The volume of a cylinder:,V = πr2hWhere, V = Volume of the cylinder  r = Radius of the base  h =…

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Q: If a snowball melts so that its surface area decreases at a rate of 4 cm4/min, find the rate at…

A: Note that snowball has a shape of sphere.

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

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Q: 11. At what rate is the volume of the cube changing if the edge is 8 cm and is changing at 4 cm/s?

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A: Given information:

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

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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…

Q: The legs of an isosceles right triangle increase in length at a rate of 4 m/s. a. At what rate is…

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Q: . A trough has ends shaped like isosceles triangles, with width 3 m and height 4 m, and the trough…

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Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.