Question 860178
a hemispherical dome is constructed from 1 cm thick metallic sheet. if the inner radius of the dome is 99 cm ,then find the value of the used metallic sheet?
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For a sphere:
{{{Vol = 4pi*r^3/3}}}
Vol of a sphere r = 100 cm = {{{4pi*100^3/3}}}
Vol of a sphere r = 99 cm = {{{4pi*99^3/3}}}
That leaves the shell vol = {{{(4pi/3)*(100^3 - 99^3)}}}
1/2 of that for a hemisphere is
= {{{(2pi/3)*29701}}} cc
=~ 62205.63 cc
= 62.206 liters
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No value info was given