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aliina [53]
2 years ago
12

A spherical ball of wax with a radius of 8 inches is melted and poured into a container shaped like a rectangular prism with a 1

4 inch x 16 inch base. What is the height of the melted wax in the new shape
Mathematics
1 answer:
avanturin [10]2 years ago
3 0

It is expected the height of the melted wax in this shape is 9.57 inches, this height would make the volume remain constant.

<h3>What is the volume of the spherical ball?</h3>

The volume of a sphere can be calculated using the formula V = 4/3 πr³. Let's use this formula to calculate the volume of the spherical ball of wax:

  • V = 4/3 π8³
  • V = 4/3 π 512
  • V= 4/3 x 3.1416 x 512
  • V =2144.66 cubic inches

<h3>What is the height of the new shape?</h3>

Considering the volume should be the same  (2144.66 cubic inches) and the volume of this shape can be calculated by multiplying the sides, this would be the equation:

  • 2144.66 = 14 x 16 x y ( unknown value)
  • y= 2144.66 / 14 x 16
  • y = 9.57

This means the height would be 9.57 inches.

Learn more about volume in: brainly.com/question/1578538

#SPJ1

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If 18 is added to a certain number and the sum is divided by 6, the result is 1 more than 14 of the original number. Find the or
Katyanochek1 [597]
The original number is 72 


(18+x)/6 = 1+14 
1/6x + 3 = 1 + 14 (Distribute)
1/6x + 3 = (1+14) (Combine Like Terms)
1/6x + 3 = 15 
        - 3 = -3          (Subtract 3 From Both Sides)
1/6x = 12 
(1/6x)*6 = 12 * 6  (Multiply Both Sides By 6)
x = 72


5 0
3 years ago
Help please!
maks197457 [2]

The two inequalities are :

option B and option C

Explanation:

Daniel moves no more than 30 of his sheep and goats into another field. This means the summation of sheep and goats will be at maximum 30.

that is why it is s+g\leq30

And more than 7 of his animals are sheep means sheep are greater than 7. that is why = s>7


7 0
3 years ago
In an article about the cost of health care, Money magazine reported that a visit to a hospital emergency room for something as
baherus [9]

Answer:

Probability that the cost will be less than $500 is 0.95994 .

Step-by-step explanation:

We are given that Money magazine reported that a visit to a hospital emergency room for something as simple as a sore throat has a mean cost of $348 with a standard deviation of $87.

Let X = cost of a hospital emergency room visit for this medical service

So, X ~ N(\mu=348, \sigma^{2} =87^{2})

The standard normal z score distribution is given by;

              Z = \frac{X-\mu}{\sigma} ~ N(0,1)

(a) Probability that the cost will be less than $500 = P(X < $500)

    P(X < 500) = P( \frac{X-\mu}{\sigma} < \frac{500-348}{87} ) = P(Z < 1.75) = 0.95994 {from z table}

Therefore, the probability that the cost will be less than $500 is 0.95994 .

                                               

3 0
3 years ago
I will give BRAINIEST
Lilit [14]
I believe it’s c/100.
2=20
10 divided by 2 = 5.
Multiply 5 by 20. That equals 100.
4 0
2 years ago
Solve for the variable:<br><br> e + (3/8) = 2
andreyandreev [35.5K]
E= 13/8 is the answer
5 0
2 years ago
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