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Sergio039 [100]
2 years ago
8

Find the VOLUME of this composite solid.

Mathematics
1 answer:
Black_prince [1.1K]2 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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The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give
goldfiish [28.3K]

Answer:

The given line segment whose end points are A(2,2) and B(3,8).

Distance AB is given by distance formula , which is

if we have to find distance between two points (a,b) and (p,q) is

=  \sqrt{(p-a)^2+(q-b)^2}

AB= \sqrt{(3-2)^2+(8-2)^2}=\sqrt{1+36}=\sqrt{37} = 6.08 (approx)

Line segment AB is dilated by a factor of 3.5 to get New line segment CD.

Coordinate of C = (3.5 ×2, 3.5×2)= (7,7)

Coordinate of D = (3.5×3, 3.5×8)=(10.5,28)

CD = AB × 3.5

CD = √37× 3.5

     = 6.08 × 3.5

= 21.28 unit(approx)

2. Slope of line joining two points (p,q) and (a,b) is given by

m=\frac{q-b}{p-a}

m= \frac{8-2}{3-2}=6

As the two lines are coincident , so their slopes are equal.

Slope of line AB=Slope of line CD = 6




6 0
3 years ago
Read 2 more answers
A flat surface of a solid figure
-BARSIC- [3]
<span>A flat surface of a solid figure is called a "face".
Your answer is <em>face.
</em>

</span>
8 0
3 years ago
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PLZ help SOMEONE!! IM CONFUSED :/ In two or more complete sentences, explain how to find the interval(s) in which the function f
Sedbober [7]
Decreaseing means where it is going down
those blank points mean not including
brackets mean inlclude, it's like the ≤ or ≥ sign
parenthasees means not include, it's like the < or > sign

it is going down from -8 to -5, not including -5 so [-8,-5)
also going down from 4 to 8, not including 8, so [4,8)
the union is including both

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6 0
3 years ago
Right triangle abc has one leg of length 6 cm, one leg of length 8 cm and a right angle at
Sauron [17]
Answer:
side length of the square = 10 cm

Explanation:
The attached image shows a diagram representing the scenario described in the problem.
Taking a look at this diagram, we can note that the side length of the square is equal to the hypotenuse of the right-angled triangle
Therefore, we can get the side of the square by calculating the length of the hypotenuse using Pythagorean theorem as follows:
(hypotenuse)² = (length of first leg)² + (length of second leg)²
(hypotenuse)² = (8)² + (6)²
(hypotenuse)² = 64 + 36
(hypotenuse)² = 100
hypotenuse = √100
hypotenuse = 10 cm

This means that the length of the side of the square is also 10 cm

Hope this helps :)

6 0
3 years ago
Please help!
Helga [31]
First you need to find how much is left in the container by finding the whole volume.
cylinder volume= πr²h where r is the radius and h is hight
V= (3.14)*(5²)*(10)
V=(31.4)(25)
V=785cm³ is the total volume
now half has been used so divide that number in half
785/2= 392.5cm³
now she uses 4cm³ a day so divide
392.5/4= 98.125
round to the nearest whole number
answer is B 98
3 0
2 years ago
Read 2 more answers
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