Inez carved a wooden cone from a
1 answer:
Answer:
123 inches³
Step-by-step explanation:
Hi there!
Objective: Find the volume of the cone
We know that the cylinder had a radius of 3 inches and it had a height of 15 inches.
Because the cone had the same radius of the cylinder, we know that it has a radius of 3 inches. And because it was 2 inches shorter, it has a height of 13 inches (15-2=13).
where r is the radius of the cone and h is its height
Plug in the known information (r=3 and h=13)
Therefore, the Inez removed about 123 inches³ of wood from the cylinder to make the cone.
I hope this helps!
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<h3>Answer: 2.2 units</h3>
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Explanation:
I'll define these point labels
- B = Blake's starting position
- F = finish line
- C = the third unmarked point of the triangle
The locations of the points are
- B = (-8,1)
- C = (-6,-3)
- F = (4,-2)
Use the distance formula to find the distance from B to C
Segment BC is roughly 4.47214 units long.
Following similar steps, you should find that segment CF is approximately 10.04988 units long.
If Blake doesn't take the shortcut, then he travels approximately BC+CF = 4.47214+10.04988 = 14.52202 units. This is the path from B to C to F in that order.
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Use the distance formula again to find the distance from B to F. This distance is about 12.36932 units. He travels this amount if he takes the shortcut.
Subtract this and the previous result we got
14.52202 - 12.36932 = 2.1527
That rounds to 2.2
This is the amount of distance he doesn't have to travel when he takes the shortcut.
In other words, the track is roughly 2.2 units shorter when taking the shortcut.
Side note: Replace "units" with whatever units you're working with (eg: feet or meters).