calculus
posted by john .
Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint cm thick to a hemispherical dome with a diameter of meters.

Without using calculus:
Amount of paint
=surface area * thickness of paint(t)
=4πr²*t
Make sure you put everything in the right units (probably cm).
Using calculus:
V=4πr³/3
dV/dr=4πr²t
Respond to this Question
Similar Questions

Calculus
Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.03 cm thick to a hemispherical dome with a diameter of 45.000 meters. 
Calculus
Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint cm thick to a hemispherical dome with a diameter of meters 
Calculus
Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.040000 cm thick to a hemispherical dome with a diameter of 60.000 meters 
Calculus
Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.100000 cm thick to a hemispherical dome with a diameter of 75.000 meters. 
Calculus
Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint cm thick to a hemispherical dome with a diameter of meters 
Calculus
Use linear approximation or differentials to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.010000cm thick to a hemispherical dome with a diameter of 75.000meters. 
Math
Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.020000 cm thick to a hemispherical dome with a diameter of 40.000 meters. How do I do this? 
Homework Help Calculus
Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 1/100cm thick to a hemispherical dome with a radius of 18 meters. I tried it but I keep getting the wrong answer.Here's what … 
Calculus Homework
Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.01cm thick to a hemispherical dome with a radius of 18 meters. 
Calculus Help
Use differentials to estimate the amount of paint needed to apply a coat of paint 0.03 cm thick to a hemispherical dome with diameter 54 m. (Round your answer to two decimal places.)