Answer:
50π ≈ 157.08 cubic units
Step-by-step explanation:
The volume of revolution of a plane figure is the product of the area of the figure and the length of the path of revolution of the centroid of that area. The centroid of a triangle is 1/3 the distance from each side to the opposite vertex. (It is the intersection of medians.)
__
<h3>length of centroid path</h3>
One side of this triangle is the axis of revolution. Then the radius to the centroid is 1/3 the x-dimension of the triangle, so is 5/3. Then the circumference of the circle along which the centroid is revolved is ...
C = 2πr
C = 2π(5/3) = 10π/3 . . . units
<h3>triangle area</h3>
The area of the triangle is found using the formula ...
A = 1/2bh
A = 1/2(5)(6) = 15 . . . square units
<h3>volume</h3>
The volume is the product of the area and the path length:
V = AC
V = (15)(10π/3) = 50π . . . cubic units
The volume of the solid is 50π ≈ 157.08 cubic units.
_____
<em>Additional comment</em>
In the attached figure, the point labeled D is the centroid of the triangle. The label has no significance other than being the next after A, B, C were used to label the vertices.
The volume of revolution can also be found using integration and "shell" or "disc" differential volumes. The result is the same.
How you find the area of a triangle is base × height ÷ 2. So the equation would be 6×3=18 18÷2=9, so the answer is 9. Hope this helped!
Answer:
6.5 weeks.
55+50=105
35+60=95
It gets too wide when we double again.
55+ 100 =155
35+150=185
Therefore 55+70 =125
35+105= 125 Still too wide.
55+60=115
35+90= 125
The answer is between 6+ 7 weeks.
We then look at days.
Divide 55 weeks into 6.5 weeks less one day. Then apply 6.5
8.5 x 6.5 = 55 but when we plus 8.5+6.5=15
Divide 35 weeks into 6.5 weeks no remainder
5.5 x 6.5 = 35.75 =12
We see the ratio is 4:5
Banks round down and up for .5 answers.
Therefore both decimals round up so the answer is 6.5 weeks.
Step-by-step explanation:
Answer:
Hold on, our servers are swamped. Wait for your answer to fully load.
more ponits not fair
Step-by-step explanation:
jus beig ismapHold on, our servers are swamped. Wait for your answer to fully load.
Answer:to what
Step-by-step explanation:
There is nothing to solve