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# painting a ball

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estimate the amount of paint you would need to layer the outside of a sphere with a radius of 10m in a coat of paint that is .001 m thick

Apr 5, 2021

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The surface area of the sphere is given by $4*\pi*r^2$, so we have the surface area is $4*\pi*10^2=400*\pi$.

To find the amount of paint as a volume, multiply it by $0.001$ meters to get about $400*0.001*\pi=\frac{4*\pi}{10}=\frac{2*\pi}{5} \approx \frac{2*3}{5} \approx \boxed{\frac{6}{5}m^3}$ of paint

Apr 5, 2021
edited by RiemannIntegralzzz  Apr 5, 2021
edited by RiemannIntegralzzz  Apr 5, 2021
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Sorry for edits, I realized my LaTeX wasn't working, so I had to redo it.

RiemannIntegralzzz  Apr 5, 2021
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Ah, I am sorry Guest! I realized my mistake, and I found the same question asked with a correct answer here: https://web2.0calc.com/questions/paint-a-sphere/new?

Hope this helps!

RiemannIntegralzzz  Apr 5, 2021