exponents on ants :(

[cherryxblossom]

i've tried like everything and nothing seems to be working -

a common ant absorbs oxygen at a rate of about 6.2 milliliters per second per square centimeters of exoskeleton. it needs about 24 milliliters of oxygen per second per cubic centimeters of its body. an ant is basically cylindrical in shape, so its surface area S and volume V can be approximated by the formulas for the surface area and volume of a cylinder:
S=2(pie symbol)rh+2(pie symbol)r^2
V=(pie symbol)r^2h

1. approximate the surface area and volume of an ant that is 8 millimeters long and has a radius of 1.5 millimeters. would this ant have a surface area large enough to meet its oxygen needs? why? (explain)

2. consider a "giant" any that 8 meters long and has a radius of 1.5 meters. would this ant have a surface area large enough to meet its oxygen needs? why? (explain)

3. substitute 1000r for r and 1000h for h into the formulas for surface area and volume. how does increasing the radius and height by a factor of 1000 affect the surface area?

4. substitute 1000r for r and 1000h for h into the formulas for surface area and volume. how does increasing the radius and height by a factor of 1000 affect the volume?

5. use the results from questions 3 and 4 to explain why "giant ants do not exist"?

PLEASE HELP! :shock:

 

[tkhunny]

Come now. You have to give us something. No one wants to do your homework for you. You must have SOME idea or you are in the wrong class.