Blowing Soap Bubbles Carlos is blowing air into a spherical soap bubble at the rate of 10 cm3/sec. How fast is the radius of the bubble changing when the radius is 11 cm? (Round your answer to four decimal places.)

The rate of change of the radius is 0.0066 cm/s when the radius is 11 cm.

Step-by-step explanation:

The change in volume is according to the inflow of air, that has a rate of 10 cm3/s.

The volume of the sphere can be defined as:

To calculate the rate of change of the radius (dr/dt), we have to derive the last expression.

Then we have an expression for dr/dt:

For r = 11 cm, we have:

The rate of change of the radius is 0.0066 cm/s when the radius is 11 cm.

Before we answer the question we must first:1. Assess what we have so far.2. Know what we need to find.3. Solve.4. Conclude.
Step 1: What we have so far.*Price of a ream of paper = $4.00
*No. of sheets of paper in a ream = 500pcs.
*A sheet of paper weighs = 0.50oz
Step 2: What we need to find.*The price of 1lb (pound) of paper = ?
Step 3: Solve.*1lb = 16oz
Know how many papers are there in 1lb:
*1lb = 16oz
*1 sheet of paper = 0.50oz
*16oz of paper = 32 pcs of paper.
Because 16 divided by 0.50 is = 32.
*1lb of paper =  32 pcs of paper.

Know how the weight of a ream of paper:
*Ream of paper has 500 papers.
*32 papers = 1lb
500 divided by 32 = 15.625
*Weight of a ream is 15.625lb.

Know how much a pound (lb) of paper is:
*A ream of paper costs $4.00.
*A ream of paper weighs 15.625lb.
4.00 divided by 15.625 = 0.256
*Cost per pound (lb) of paper = $0.256 or $0.26 or 26 cents.

Step 4: Conclusion.After successfully doing the steps above, we can now conclude that the cost per pound of paper is $0.256 or $0.26 or 26 cents.