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Home » V_{\textpropeller} = \frac43 \pi (1)^3 = \frac43 \pi - Professionaloutdoormedia

V_{\textpropeller} = \frac43 \pi (1)^3 = \frac43 \pi - Professionaloutdoormedia

📅 May 15, 2026 👤 scraface

May 15, 2026

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Thus, the ratio is $ \boxed{\frac{1}{2}} $.
Question: A science administrator is reviewing a grant proposal involv...
Solution: The volume of a cylinder is $ V_{\text{cyl}} = \pi r^2 h $....
V_{\text{cyl}} = \pi (3r)^2 (4r) = \pi (9r^2)(4r) = 36\pi r^3
The volume of a cube is $ V_{\text{cube}} = s^3 $. For the cube, $ s =...
V_{\text{cube}} = (6r)^3 = 216r^3
The ratio of the cylinder's volume to the cube's volume is:
\frac{V_{\text{cyl}}}{V_{\text{cube}}} = \frac{36\pi r^3}{216r^3} = \f...
Thus, the ratio is $ \boxed{\frac{\pi}{6}} $.
Question: A pharmacologist is modeling a spherical drug capsule of rad...

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