What logically could have gone wrong?
1 answer:
The steps of drawing a circumscribed circle are the following:
1) Draw the 3 perpendicular bisectors of the sides. They all meet at the circumcenter.
Drawing only 2 is enough, since their intersection point is still the circumcenter.
2) We open the compass from the circumcenter to any of the vertices, then we draw the circle.
Among our choices, (b) is not an issue, as explained above.
(c) has to do with drawing the inscribed circle, but nothing to do with the circumscribed circle.
(d) The angle bisectors meet at the center of the inscribed circle. Again, these have nothing to do with the circumscribed circle.
What may have happened, is only (a).
1) Draw the 3 perpendicular bisectors of the sides. They all meet at the circumcenter.
Drawing only 2 is enough, since their intersection point is still the circumcenter.
2) We open the compass from the circumcenter to any of the vertices, then we draw the circle.
Among our choices, (b) is not an issue, as explained above.
(c) has to do with drawing the inscribed circle, but nothing to do with the circumscribed circle.
(d) The angle bisectors meet at the center of the inscribed circle. Again, these have nothing to do with the circumscribed circle.
What may have happened, is only (a).
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Answer:
Volume left = 404.32 cubic inches
Step-by-step explanation:
volume of a cylinder = h
volume of ice cream in the cylindrical tub = x
x 9
= x 25 x 9
= 707.1429
Volume of ice cream in the cylindrical tub is 707.14 cubic inches.
The ice cream scoop has a spherical volume, so that;
volume of a sphere =
r =
= inches
volume of the scoop = x
x
= x
x
= 8.1845
volume of the scoop is 8.19 cubic inches.
If he scoops 37 scoops,
volume of the 37 scoops = 37 x 8.1845
= 302.8265
volume of 37 scoops is 302.83 cubic inches.
Volume of ice cream left in the tub = 707.1429 - 302.8265
= 404.3164
Volume of ice cream left in the tub is 404.32 cubic inches.