Question

5. water is poured into a right cylindrical tank at a rate of 6 cubic inches per minute. if the radius of the base is 20 inches long; how fast is the height changing when the water level is 12 inches high?

Answer 1

The height is changing at the rate of 1/20in per minute in the given right cylindrical tank.

What is the right cylindrical tank?

• A right circular cylinder has parts that are perpendicular to its base and a closed circular surface with two parallel bases on both ends. Another name for it is a right cylinder.
• The formula V = r²(h) can be used to determine a cylinder's volume (h).
• Finding the area of the circular base shape and multiplying it by the height is all that is required to calculate a cylinder's volume.

So, the changing the rate of the height:

• The volume formula: V = r²(h)
• Where r is 20in and Volume is given 12in.

Calculate height as follows:

• V = r²(h)
• 20 = 20²(h)
• 20 = 400(h)
• h = 20/400
• h = 1/20in per minute

Therefore, the height is changing at the rate of 1/20in per minute in the given right cylindrical tank.

Know more about the right cylindrical tank here:

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