josesalazmat
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Hello
I have tried to resolve the problem below
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 45.000 meters.
My procedure was:
the volume of the sphere is $$V=4/3 pi r^3$$ but this is a hemispherical dome, so the formula should be $$V=2/3pir^3$$
I derived it, so
$$dv=2pir^2 * dr$$
dr is 0.04000 cm
the radius is 22.5
Then, the result should be 127.17 cm ^3 but this result is showed as wrong
I don't know where I am making the mistake
I will appreciate any advice
Thanks
I have tried to resolve the problem below
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 45.000 meters.
My procedure was:
the volume of the sphere is $$V=4/3 pi r^3$$ but this is a hemispherical dome, so the formula should be $$V=2/3pir^3$$
I derived it, so
$$dv=2pir^2 * dr$$
dr is 0.04000 cm
the radius is 22.5
Then, the result should be 127.17 cm ^3 but this result is showed as wrong
I don't know where I am making the mistake
I will appreciate any advice
Thanks