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August 28, 2014

August 28, 2014

Posted by **Dorothy** on Tuesday, May 22, 2012 at 12:48pm.

- Math -
**Reiny**, Tuesday, May 22, 2012 at 3:00pmI see the surface area as the

circular area of the base + rectangle + 1/2 surface area of the sphere

let the radius be r and the height be h

so we want to measure h+r

given:

" the silo's height i three times its' radius" ---> h+r = 3r

h = 2r

πr^2 + 2πrh + (1/2) 4πr^2 = 100

πr^2 + 2πr(2r) + 2πr^2 = 100

7πr^2 = 100

r^2 = 100/(7π)

r = 2.1324 inches

h = 4.2648 inches

so the height of the toy silo = r+h = 6.397

or appr 6.4 inches

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