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Artemon [7]
3 years ago
13

The radius of a sphere and of a cylinder are the same. The diameter of the sphere and the height of the cylinder are also the sa

me and are twice the length of the radius. If two cones are formed within the cylinder, as shown in the diagram, then the volume of the sphere is equal to which of the following?
(Points : 1)
the volume of the cylinder + 2(volume of one cone)

the volume of the cylinder 2(volume of one cone)

2(volume of one cone)

the volume of one cone

Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0
First we have to know the formula of the volume f each of the solids, 

<span>V of sphere = 4/3 pi r^3
</span><span>Volume of Cylinder = pi r^2(2r)=2pi r^3
</span><span>Volume of cone = 1/3 pi r^2(r)=1/3 pi r^3
</span>
The surest and easiest way we can answer this is actually assigning values. We first assign values to r hence we would get the volume of the sphere and rest of the solids (cylinder and cone). You then compare your answers to that of the sphere, and you should get your answer. 
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​Simplify. ​13(−32.48−14.02)​ Enter your answer, as a decimal to tenths, in the box.
Artyom0805 [142]

If you mean 1/3 the answer is -15.5

1/3(-32.48-14.02) = 1/3(-46.5) = (-15.5)

3 0
3 years ago
Suppose that the sum of the three vectors u, v, and w shown in the figure is the zero vector. If w = 10 find u and v.
tangare [24]

a. The value of v is 9.2

b. The value of u is 9.9

<h3>What are vectors?</h3>

Vectors are physical quantities that have both magnitude and direction

<h3>How to find the value of vectors u and v?</h3>

Since we have vectors

  • u at 70° to the x-axis
  • v at 47° to the x-axis and
  • w = 10 at 15° to the x-axis,

We resolve them into component form

So, u = -(ucos70°)i - (usin70°)j

u = -(0.3420u)i - (0.9397u)j

v = -(vcos47°)i + (vsin47°)j

v = -(0.6820v)i - (0.7314v)j

w = (wcos15°)i + (wsin15°)j

w = (0.9659w)i + (0.2588w)j

w = (9.659)i + (2.588)j

Since the sum of the three vectors is zero, we have that

u + v + w = 0

u + v = -w

So,

-(0.3420u)i - (0.9397u)j + [-(0.6820v)i - (0.7314v)j] = -[(9.659)i + (2.588)j]

-(0.3420u)i - (0.9397u)j -(0.6820v)i - (0.7314v)j = -(9.659)i - (2.588)j]

-(0.3420u)i -(0.6820v)i - (0.9397u)j - (0.7314v)j = -(9.659)i - (2.588)j]

-[0.3420u + 0.6820v]i - [0.9397u + 0.7314v]j = -(9.659)i - (2.588)j

Equating i components, we have

-[0.3420u + 0.6820v]i = -9.659i

0.3420u + 0.6820v = 9.659

Dividing through by 0.3420. we have

u + 1.994v = 28.242 (1) and

Also, equating j components, we have

- [0.9397u + 0.7314v]j = -2.588j

0.9397u + 0.7314v = 2.588  

Dividing through by 0.9397 we have

u + 0.778v = 2.754 (2)

<h3>a. The value of v</h3>

Subracring equation (2) from(1),we have

u + 1.994v = 28.242 (1)

-

u + 0.778v = 2.754 (2)

2.772v = 25.488

v = 25.488/2.772

v = 9.19

v ≅ 9.2

The value of v is 9.2

<h3>b. The value of u</h3>

Substituting v into (1), we have

u + 1.994v = 28.242 (1)

u + 1.994(9.19) = 28.242

u + 18.325 = 28.242

u = 28.242 - 18.325

u = 9.917

u ≅ 9.9

The value of u is 9.2

Learn more about vectors here:

brainly.com/question/25705666

#SPJ1

8 0
2 years ago
Which pair of angles are corresponding angles?
frosja888 [35]
Two answers could be 1 & 5 or 2 & 6
6 0
3 years ago
What is the slope of the line that passes through the points (-2, 2), and (-4, -2)? 1/2, 2, -2, -1/2
Paladinen [302]

Answer:

1/2

Step-by-step explanation:

if u make a slope triangle you get 4/2 which equals 1/2

8 0
3 years ago
Read 2 more answers
Select the dimensions of a rectangle with a perimeter of 50 inches
kifflom [539]

Answer:

length  = 21  inches

Step-by-step explanation:

Missing information

In this question some information is missing the width is not given in the question .The width in this question is 4 inches we have to find the length of the  rectangle .

We know that the perimeter of rectangle is given as

p=2w+2l........................equation(1)

where p=perimeter

w= width

l= length

Now putting the value of width and perimeter in the equation(1) we get ,

50=2(4)+2l

50=8+2l

50-8=2l

42=2l

l\ =\ \frac{42}{2}\ \\ l\ =21\ inches

Therefore length of the dimension is 21 inches

7 0
3 years ago
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