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balu736 [363]
3 years ago
14

A ball of radius 17 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.

Mathematics
1 answer:
Ahat [919]3 years ago
6 0

Answer:

<h3>19,133.067</h3>

Step-by-step explanation:

Volume of the ball (spherical in nature) Vb = 4/3πrb³

Volume of the hole Vh = 4/3πrh³

rb is the radius of the ball

rh is the radius of the hole

If a ball of radius 17 has a round hole of radius 7 drilled through its center, the volume of the resulting solid will be expressed as:

V = Vb - Vh

V = 4/3πrb³ - 4/3πrh³

factor out the like terms;

V = 4/3π(rb³-rh³)

Given

rb = 17

rh = 7

V = 4/3π(17³-7³)

V = 4/3π(4913-343)

V = 4/3π(4570)

V = (4π*4570)/3

V = 57,399.2/3

V = 19,133.067

Hence the volume of the resulting solid is 19,133.067

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LuckyWell [14K]
Answer:
10√3 which is the last option

Explanation:
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300 = 100 * 3
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5 0
3 years ago
PLS help me Order four and seven tenths repeating, negative four and eight ninths, 490%, and −4.9 from least to greatest.
Digiron [165]

The order from least to greatest negative four and seven tenths repeating, negative four and eight ninths, 490%, and −4.9 from least to greatest is; option A

  • −4.9,
  • negative four and eight ninths
  • four and seven tenths repeating
  • 490%,

<h3>Ascending order</h3>

four and seven tenths repeating

= 4.77777777

negative four and eight ninths

= -4 8/9

= -4.888888888888888

490%

= 490/100

= 4.9

−4.9

Rearranging from least to greatest (ascending order)

  • -4.9
  • -4.888888888888888
  • 4.77777777
  • 4.9

Learn more about ascending order;

brainly.com/question/12783355

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6 0
2 years ago
The drain in your 45-gallon bathtub is partially clogged, but you need to take a shower. The showerhead had a flow rate of 2.25
Vladimir [108]

Answer:

  25 minutes 42 seconds

Step-by-step explanation:

The tub will fill at the rate of ...

  2.25 gal/min - 0.50 gal/min = 1.75 gal/min

It will take ...

  45 gal/(1.75 gal/min) ≈ 25.714 min

for the tub to fill.

You can shower for about 25 minutes 42 seconds.

3 0
3 years ago
Read 2 more answers
Find the median of the data.<br> 12, 33, 18, 28, 29, 12, 17, 4, 2<br> The median is
Reptile [31]

Answer:

The median is 29

Step-by-step explanation:

So you have to cross out 12 then 2 then 33 then 4 then 18 then 17 then 28 then 12 and the last number that's standing is 29.

3 0
3 years ago
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Using a spreadsheet program, create an amortization schedule for a 30-year mortgage of $500,000 at an annual interest rate of 4.
madreJ [45]

This exercise requires the ability to create Amortization Schedules Using a Spreadsheet program. Based on the information given about the Amortization of the loan, the principal payable per month became greater than the interest payable per month on the 159th month (given that the loan amount is $500,000.

<h3>In which month does the amount of principal in a monthly payment first exceed the amount of interest?</h3>

The amount of principal in a monthly payment first exceeds the interest payment In 159th Month. The interest on this month is $1, 248.39 while the principal on this month is $1, 205.46.

It is to be noted that when a loan is taken, the constituents of the amounts being paid back is the Principal and part of the interest on the loan.

<h3>How do you Calculate Amortization of Loans?</h3>

The yearly interest rate must be divided by 12.

Your monthly interest rate, for instance, will be 0.3525 percent if your annual interest rate is 4.23 percent (0.0423 annual interest rate x 12 months).

Additionally, you'll add 12 to the number of years remaining on your loan term.

<h3>How much interest is repaid for the term of the loan?</h3>

The total amount of interest that is paid for the term loan is $383,385.54

<h3>If the loan amount was $750,000 instead of $500,000, would the month in which the amount of principal in a monthly payment first exceeded the amount of interest change?</h3>

Yes it would change. It would change to the 165th month. In this month, the interest paid is $1, 834.00 while the principal paid back is $1,846.77. See the attached image for answer C.

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