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snow_lady [41]
3 years ago
11

A copper key is placed in a cylindrical container with a 3-cm diameter. The water level rises from 14 cm to 14.6 cm. What is the

volume of the key?
Options:

The volume is about 4.24 cm^3.

The volume is about 3.72 cm^3.

The volume is about 2.96 cm^3.

The volume is about 1.41 cm^3.
Mathematics
1 answer:
Tomtit [17]3 years ago
3 0

Answer:

The volume is about 4.24 cm^3.

Step-by-step explanation:

From the question we are told that:

Diameterd= 3-cm

Radius r=d/2=>1.5cm

Height risen14.6-14=0.6cm

Generally the equation for Volume of a Key is mathematically given by

Since Volume of a cylinder is Given as

V=\pir^2h

Therefore

V=\pi*1.5^2*0.6

V=4.2417\\\\V=4.24 cm^3

Correct Option A

The volume is about 4.24 cm^3.

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The value of x + y is negative, and x is a positive integer. What must be true about y? Explain.
sergey [27]

Answer:

Y must be negative

Step-by-step explanation:

Use this equation as an example: 5 + -7 = negative

If you add both of them you end up with -2

-2 is a negative integer

5 0
2 years ago
There are three numbers. The first number is twice the second number. The third number is twice the first number. The sum of the
mel-nik [20]

Answer:

x = 32 y = 16 z = 64

Step-by-step explanation:

x is the 1st number

y is the 2nd number

z is the 3rd number

The first number is twice the second number so

x = 2 y

The third number is twice the first number.

z = 2 x

Their sum is 112

x + y + z = 112

Plus in what we know:

x + y + z = 112

2 y + y + 2x = 112

3y + 2x = 112 Let's solve for y and subtract 2x from each side

3y = 112 - 2x  Divide both sides by 3

y = \frac{112 - 2x}{3}

Now plug our answer back in to solve for x.

x = 2y

x = 2 ( \frac{112 - 2x}{3} )

x = (224 - 4x) / 3    Multiply each side by 3.

3x = 224 - 4x         Add 4x to each side

3x + 4x = 224

7x = 224              Divide each side by 7

7x / 7 = 224 / 7

x = 32

Now we can solve for z.

z = 2x

z = 2 ( 32 )

z = 64

Now we can solve for the numerical value of y.

x + y + z = 112

32 + y + 64 = 112

96 + y = 112       Subtract 96 from each side.

y = 112 - 96

y = 16

5 0
3 years ago
Read 2 more answers
How much is point (-24,-12) dilated by to get to (-18,-9)?
Anna [14]

Answer:

Dilation factor = 0.75.

Step-by-step explanation:

One point on the xy-plane is (-24,-12). The transformation is the dilation which is done on the point and the image is given by (-18,-9). Dilation changes the size of the shape according to the dilation factor. If the original x-coordinate is -24, then the image will be calculated by multiplying the original point with the dilation factor. Therefore, -18= -24 * k, where k is the unknown dilation factor. Simply solve the equation for k.

24k = 18.

k = 18/24 = 3/4 = 0.75.

Similarly, 12k = 9. k = 9/12 = 3/4 = 0.75.

So the point (-24,-12) dilated by k=0.75 to get to (-18,-9)!!!

8 0
3 years ago
Q # # 12 find the volume of the cylinder to the nearest cubic foot Use a calculator
Ronch [10]
The diagram in the question is a cylinder.
;The volume of a cylinder is given by;

Volume = πr²h
;Where π=3.14
             r⇒radius of the base of the cylinder and
             h ⇒ height of the cylinder.

∴Volume = 3.14×5²×3
               =235.5 ft³

To the nearest cubic = 236 ft³

4 0
3 years ago
Read 2 more answers
jamal deposits 2,500 into each of two savings accounts.The first account has a 4% annual simple interest .Account two earns 5% a
nika2105 [10]

Answer:

$5,675

Step-by-step explanation:

you would just take 4% and 5% of 2500 which is 100 and 125 and multiply them both by 3 which is 300 and 375 and add them both to the 2500 which is 2800 and 2875 and since it asks for the sum you would add then to get a total of $5,675

7 0
3 years ago
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