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A Notch Is Cut Out of a Vertical Cylindrical Log

Question 80

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A notch is cut out of a vertical cylindrical log of radius r cm by two planar saw cuts that meet along a horizontal line passing through the centre of the log. If the saw cuts make angles ± 30º with the horizontal (so that the angle of the notch is 60º) , find the volume of wood cut out of the log in making the notch.


A) A notch is cut out of a vertical cylindrical log of radius r cm by two planar saw cuts that meet along a horizontal line passing through the centre of the log. If the saw cuts make angles ± 30º with the horizontal (so that the angle of the notch is 60º) , find the volume of wood cut out of the log in making the notch. A)    cm <sup>3</sup> B)    cm<sup>3</sup> C)    cm<sup>3</sup> D)    cm<sup>3</sup> E)    cm<sup>3</sup> cm 3
B) A notch is cut out of a vertical cylindrical log of radius r cm by two planar saw cuts that meet along a horizontal line passing through the centre of the log. If the saw cuts make angles ± 30º with the horizontal (so that the angle of the notch is 60º) , find the volume of wood cut out of the log in making the notch. A)    cm <sup>3</sup> B)    cm<sup>3</sup> C)    cm<sup>3</sup> D)    cm<sup>3</sup> E)    cm<sup>3</sup> cm3
C) A notch is cut out of a vertical cylindrical log of radius r cm by two planar saw cuts that meet along a horizontal line passing through the centre of the log. If the saw cuts make angles ± 30º with the horizontal (so that the angle of the notch is 60º) , find the volume of wood cut out of the log in making the notch. A)    cm <sup>3</sup> B)    cm<sup>3</sup> C)    cm<sup>3</sup> D)    cm<sup>3</sup> E)    cm<sup>3</sup> cm3
D) A notch is cut out of a vertical cylindrical log of radius r cm by two planar saw cuts that meet along a horizontal line passing through the centre of the log. If the saw cuts make angles ± 30º with the horizontal (so that the angle of the notch is 60º) , find the volume of wood cut out of the log in making the notch. A)    cm <sup>3</sup> B)    cm<sup>3</sup> C)    cm<sup>3</sup> D)    cm<sup>3</sup> E)    cm<sup>3</sup> cm3
E) A notch is cut out of a vertical cylindrical log of radius r cm by two planar saw cuts that meet along a horizontal line passing through the centre of the log. If the saw cuts make angles ± 30º with the horizontal (so that the angle of the notch is 60º) , find the volume of wood cut out of the log in making the notch. A)    cm <sup>3</sup> B)    cm<sup>3</sup> C)    cm<sup>3</sup> D)    cm<sup>3</sup> E)    cm<sup>3</sup> cm3

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