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Home » A sphere is inscribed in a cube with edge length 10 cm. Find the volume of the sphere. - Simpleprint

A sphere is inscribed in a cube with edge length 10 cm. Find the volume of the sphere. - Simpleprint

📅 March 16, 2026 👤 scraface

Mar 16, 2026

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To find maxima, take derivative: $A'(t) = 1000 [ -0.03 e^{-0.03t} \sin...
Factor: $A'(t) = 1000 e^{-0.03t} [ -0.03 \sin(0.1\pi t) + 0.1\pi \cos(...
Set derivative to zero: $-0.03 \sin(0.1\pi t) + 0.1\pi \cos(0.1\pi t)...
$rac{\sin}{\cos} = rac{0.1\pi}{0.03} \Rightarrow an(0.1\pi t) = ra...
Then $0.1\pi t = rctan(10.472) pprox 1.471$ radians.
So $t pprox rac{1.471}{0.1\pi} pprox rac{1.471}{0.3142} pprox 4.6...
This is the first positive solution, and since sustainable development...
#### 4.68
A civil engineer models the stress distribution on a beam with functio...
Find critical points: $f'(x) = 18x^2 - 72x + 54$.

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