# calculus

posted by .

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 -

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

## Similar Questions

1. ### 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.
2. ### 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
3. ### 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
4. ### 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.
5. ### 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
6. ### 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.
7. ### 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?
8. ### 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 …
9. ### 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.
10. ### 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.)

More Similar Questions