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Veronika [31]
3 years ago
6

How much liquid will fit in the glass shown? Round your answer to the nearest hundredth.

Mathematics
1 answer:
nikitadnepr [17]3 years ago
5 0

Answer:

The cup can hold 497.17 in³ of liquid.

Step-by-step explanation:

The shape of the glass can be divided in two figures, the first one is a cilinder with radius 5 in and height 3 in, while the second is a half sphere with radius 5 in. Therefore in order to calculate the volume of liquid the glass can hold we need to calculate the volume of each of these and sum them.

Vcilinder = pi*r²*h = 3.14*5²*3 = 235.5 in³

Vhalfsphere = (2*pi*r³)/3 = (2*3.14*5³)/3 = 261.67 in³

Vcup = Vcilinder + Vhalfsphere = 235.5 + 261.67 = 497.17 in³

The cup can hold 497.17 in³ of liquid.

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Suppose that we wish to assess whether more than 60 percent of all U.S. households in a particular income class bought life insu
IceJOKER [234]

Answer:

A. 0.0049

B. Yes

Step-by-step explanation:

Sample proportion = 0.64

N = 1000

Population proportion = 0.60

We solve for standard deviation

= √p(1-p)/n

= √0.60(1-0.60)/1000

= √0.60x0.40/1000

= √0.00024

= 0.0155

A.

The probability of sample >=0.64

Z>=0.64-0.60/0.0155

Z >= 0.04/0.0155

So z >= 2.5806

Using excel this equal to 0.0049

0.0049 is probability of sample proportion being 0.64 at least.

B.

This answer in a shows that than 60% of households in the united states income class purchased life insurance last year.

3 0
3 years ago
How do I find the volume of this?​
lorasvet [3.4K]

Answer:

(64+320π) cm^3

Step-by-step explanation:

The volume of a cube is the length*width*height, so

the volume of this cube is 4*4*4=64 cm^3

The volume of a cylinder is the base*height

The base of a cylinder is the area of a circle, which is π*the radius of the circle squared

The diameter of the circle base is 16, and the radius is half the diameter, so it is 16/2=8.

The area of the base of the cylinder is π8^2=64π

Now, multiply the base by the height, 5

64π*5=320πcm^3

We now have the volume of the cube and the volume of the cylinder, so now we just add them:

(64+320π) cm^3

7 0
3 years ago
What Is The scale factor of the dilation?<br> A)-1/2<br> B)1/2<br> C)-2<br> D)2
Vadim26 [7]

Answer:

B) 1/2

Step-by-step explanation:


5 0
3 years ago
List 3 values that would make this inequality true 8+y&gt;11
alina1380 [7]
You could use so many for example 4, 10, 57, 5729, any number above 4 would work since that plus 8 would be greater than 11
4 0
4 years ago
Need help now! (probibility)
algol13

Answer:

36%, I'm fairly certian

Step-by-step explanation:

A. 90%

B. 60%

C. 30%

D. 36%

D. makes the most sense to me

6 0
3 years ago
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