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Question Number 216478 by Tawa11 last updated on 08/Feb/25

Commented by mr W last updated on 09/Feb/25

$$thevertexoftheconemaytouch$$$$anypointofoneendofthecylinder,$$$$wealwayshave$$$$V_S=2V$$

Answered by A5T last updated on 09/Feb/25

$$\mathrm{Volume}\mathrm{of}\mathrm{the}\mathrm{cone},\mathrm{V}=\frac{\pi {\mathrm{R}}^2\mathrm{h}}{3}$$$$\mathrm{Volume}\mathrm{of}\mathrm{the}\mathrm{cylinder}=\pi {\mathrm{R}}^2\mathrm{h}$$$$\Rightarrow \mathrm{Volume}\mathrm{of}\mathrm{shaded}\mathrm{space}=\pi {\mathrm{R}}^2\mathrm{h}-\frac{\pi {\mathrm{R}}^2\mathrm{h}}{3}=\frac{2\pi {\mathrm{R}}^2\mathrm{h}}{3}$$$$=2\mathrm{V}$$

Commented by Tawa11 last updated on 08/Feb/25

$$\mathrm{Thanks}\mathrm{sir}.$$$$\mathrm{I}\mathrm{got}2\mathrm{V}\mathrm{sir}.$$$$\mathrm{You}\mathrm{made}\mathrm{a}\mathrm{mistake}\mathrm{sir}.2\times \frac{\pi {\mathrm{R}}^2\mathrm{h}}{3}=2\mathrm{V}.$$$$\mathrm{I}\mathrm{really}\mathrm{appreciate}\mathrm{sir}.$$

Commented by A5T last updated on 09/Feb/25

$$\mathrm{It}\mathrm{was}\mathrm{a}\mathrm{mistake},\mathrm{thanks}.$$

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