A cylindrical bucket is being filled with paint at a rate of 4 cm3 per minute. How fast is the level rising when the bucket starts to overflow? The bucket has a radius of 20 centimeters and a height of 70 centimeters. (Round your answer to four decimal places.)

Therefore,the level of paint is rising when the bucket starts to overflow at a rate   cm per minute.

Step-by-step explanation:

Given that, at a rate 4 cm³ per minute,a cylinder bucket is being filled with paint

It means the change of volume of paint in the cylinder is 4 cm³ per minutes.

i.e cm³ per minutes.

The radius of the cylinder is 20 cm which is constant with respect to time.

But the level of paint is rising with respect to time.

Let the level of paint be h at a time t.

The volume of the paint at a time t is

Differentiating with respect to t

Now putting the value of

To find the rate of the level of paint is rising when the bucket starts to overflow i.e at the instant h= 70 cm.

Therefore, the level of paint is rising when the bucket starts to overflow at a rate cm per minute.

answer: a

step-by-step explanation:

10.2 units

option: d is the correct answer.

d) none of the above.

step-by-step explanation:

clearly from the figure attached to the question we could see that there is no shape given. hence without any shape given in the figure and after rotation we can't obtained a square pyramid.

since, to obtain a image we need a proper figure of the pre-image so that it can be transformed.

hence, the correct answer is:

d) none of the above.

step-by-step explanation: