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Mathematics

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S_A_V [24]3 years ago

4 0

Answer:

c lolhahahahahahahahahahahahahahahahahahahahaha

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A cylinder has a 12-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed wi

Tems11 [23]

The volume of the cylinder is the space occupied by the cylinder. The volume of the water in the cylinder is 1583.36266 in³.

<h3>What is the volume of a cylinder?</h3>

The volume of the cylinder is the space occupied by the cylinder. It is calculated with the help of the formula,

$\text{Volume of the cyllinder}= \pi r^2h$

As it is given that the diameter of the cylinder is 12 inches while the height of the cylinder is 15 inches, also, it has a ball of the diameter of 6 inches placed inside the cylinder, therefore, the volume of the water that is inside the cylinder is the difference in the volume of the cylinder and the volume of the spherical ball.

$\text{Volume of the cyllinder}= \pi r^2h = \dfrac{\pi}{4}d^2 h$

Substitute the values,

$\begin{aligned}\text{Volume of the cyllinder}&= \dfrac{\pi}{4}d^2 h\\& = \dfrac{\pi}{4} \times (12^2) \times 15\\ &=1696.46\rm\ in^3\end{aligned}$

Now, the volume of the ball is equal to the volume of the sphere therefore, the volume of the ball can be written as,

$\text{Volume of the sphere} = \dfrac{4}{3}\pi r^3$

$= \dfrac{4}{3}\pi r^3\\\\= \dfrac{4}{3}\times \pi \times (3^3)\\\\= 113.097\rm\ in^3$

Further, the volume of the water that is inside the cylinder can be written as,

The volume of water = Volume of the cylinder - Volume of the sphere

= 1696.46 - 113.097

= 1583.36266 in³

Hence, the volume of the water in the cylinder is 1583.36266 in³.

Learn more about Volume of the Cylinder:

brainly.com/question/1780981

5 0

2 years ago

Laura wants to show 70 in tens. How many tens will she draw? How do you know?

AURORKA [14]

7. 70 divided by 10 = 7.

6 0

4 years ago

Read 2 more answers

the function y=-2(x-3)^2+4 shows the daily profit (in hundreds of dollars) of a hot dog stand wherex is the price of a hot dog (

Pavlova-9 [17]

Step-by-step explanation:

$y=-2(x-3)^2+4$

To interpret the zeros of this function , put y =0

$0=-2(x-3)^2+4$

$0+2(x-3)^2=4$

$2(x-3)^2=4$

$(x-3)^2=\frac{4}{2}$

$(x-3)^2=2$

Taking square root on both sides:

$(x-3)=\pm \sqrt{2}$

So, we got values of x :

1) $x=3+\sqrt{2}=1.59$

2) $x=3-\sqrt{2}=4.41$

This means the person will have profit if price of a hot dog ranges from $1.59 to $4.41.

8 0

3 years ago

Estimate the quotient 722 divided by 9

anygoal [31]

Answer: 72

Step-by-step explanation:

722 —> 720

9 —> 10

72 divided by 1 is 72

5 0

3 years ago

On a map the length of a river is 4.75 in. The actual length is 247mi. What's the scale of the map?

Amanda [17]

I have my solution here that might help you solve the problem on your own!

find out how many inches in 1 mile
<span>
multiply this by 247 </span>
<span>
divide the answer by 4.75 </span>
<span>
the scale is 1:(the answer)
</span>
I hope my guide has come to your help. Have a nice day ahead and may God bless you always!

5 0

3 years ago