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Sergio039 [100]
3 years ago
8

Find the VOLUME of this composite solid.

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
8 0

Answer:

  (294π +448) cm³ ≈ 1371.6 cm³

Step-by-step explanation:

The half-cylinder at the right end has a radius of 7 cm, as does the one on top. Together, the total length of these half-cylinders is 8 cm + 4cm = 12 cm. That is equivalent in volume to a whole cylinder of radius 7 cm that is 6 cm long.

The cylinder volume is ...

  V = πr²h = π(7 cm)²(6 cm) = 294π cm³

__

The cuboid underlying the top half-cylinder has dimensions 4 cm by 8 cm by 14 cm (twice the radius). So, its volume is ...

  V = LWH = (4 cm)(8 cm)(14 cm) = 448 cm³

Then the total volume of the composite figure is ...

  (294π +448) cm³ ≈ 1371.6 cm³

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What is not always true about 2 regular pentagons
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Answer:

b

Step-by-step explanation:

The two regular pentagons could be differnt sizes, so they are not all congruent hope this helps :)

6 0
3 years ago
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A sixth-grade math teacher can grade 25 homework assignments in 20minutes. What is the rate per minute? He can grade assignments
baherus [9]

Answer:

He can grade 1.25 assignments in 1 minute.

Step-by-step explanation:

Because the teacher can grade 25 assignments in 20 minutes, we can dive 25 by 20 to get the constant rate.

25/20\\1.25

So he can grade 1.25 assignments in 1 minute.

5 0
2 years ago
Aidan writes numbers on his ten fingers as 5, 7, 9, 11, 13, 15, 16, 19, 22, 23. What is the probability of picking an even numbe
faltersainse [42]
It would be 2/10, or 1/5, since two out of the 10 numbers are even. 2/10 simplifies to 1/5, since there is 1 for every 5 numbers.

We could turn this into a percentage by dividing 1 by 5, which gives us 0.2. Then we can multiply by 100 to get 20.

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6 0
3 years ago
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Graph the line with slope -3 passing through the point (5,0)
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4 0
3 years ago
Y=-x+2 <br> y=-5x-6 <br> What is y and x
tatyana61 [14]
To solve this system of equations, since y is already isolated in both equations, you can set the expressions to equal each other to solve for x:

-x + 2 = - 5x - 6
-x + 5x = -6 - 2
4x = -8
x = -2

Now that we have x, we can substitute it into one of the equations to find y:

y = -(-2) + 2
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The last step is to substitute both values into both equations to see if they are correct:

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Answer:
x = -2
y = 4
6 0
3 years ago
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