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the radius of the cone is 1.75 inches, and it’s height is 3.5 inches. If the diameter of the bubble gum ball is 0.5 inches, what is the closest approximation of the volume of the cone that can be filled with flavored ice?

Answers

Answer 1

Answer:

Explanation:

The volume of a cone is:

$V_(c)=(1)/(3)\pi r^2 h \n \n \n Where: \n \n r:\text{Radius of the cone} \n \n h:\text{height of the cone}$

Here:

$r=1.75in \n \n h=3.5in$

So, substituting into the formula:

$V_(c)=(1)/(3)\pi (1.75)^2(3.5)\approx 11.22in$

The gum ball is spherical. so the volume of a sphere is:

$V_(e)=(4)/(3)\pi r^3 \n \n \n Where: \n \n r:\text{Radius of the gum ball} \n \n \n \text{We know that the diameter of this ball is} \ d=0.5in \ \text{so the radius is:} \n \n r=0.5/2=0.25in$

Therefore:

$V_(e)=(4)/(3)\pi (0.25)^3\approx 0.065$

Finally, the volume (V) of the cone that can be filled with flavored ice is:

$V=V_(c)-V_(e)=11.22-0.065 \n \n \boxed{V\approx 11.15in^3}$

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Which point represents the intersection of given lines AE and DE

Answers

I am pretty sure it is "E" because both lines AE and De share point e.

Answer:

Hey! the answer is e

Step-by-step explanation:

If you were to draw two lines intercepting each other, one point would be the same, right?

Here there is line AE, and line DE. The repeated point is E, which means it's the intersection.

I can't add visuals at the moment, but imagine like an x, a being on one end, d on the other, and e in the middle.

Hope this helps!

Suppose you have a random variable that is uniformly distributed between 80 and 667. What is the probability of observing a random draw greater than or equal to 314? Answer to three decimal place if necessary.

Answers

Answer:

P(x>=314) = 354/588 = 0.602

Step-by-step explanation:

At first, we will find the sample space S

S = 667-80+1. i.e 80 and 667 are included

S= 588, so we have total of 588 numbers in the series

now comes the number greater or equal to 314

we will get total of 354 number greater than or equal to 314

x = 667-314+1 = 354

p( number >= 314) = (numbers >= 314)/total sample space

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What is the perimeter of a square with s = 8 centimeters?

Answers

Answer:

32centimeters

Step-by-step explanation:

4 sides are in a sqaure and all of them are equal so

8 times 4 is 32

What is the value of x?

Enter your answer in the box.

x =

Answers

Answer:

x-4+3x+100=180....by angle sum property

4x=84

x=21

(PLEASE HELP!!!)Which shows the list of numbers in order from least to greatest?

Answers

Answer:

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

-2 is the least because the two lines means the number inside will be positive.

this means that -4/5 will be 4/5. Then 1. Then 3.5. Finally, 4.2

Hope this helps you

What does 4x+y=5 in finding x and y intercepts?

Answers

Answer: X=5/4 Y=5

Step-by-step explanation:

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