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Ilya [14]
3 years ago
10

A spherical ball just fits inside a cylindrical can,16 centimeters y'all, with a diameter of 16 centimeters. What is the express

ion that give you the volume
Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
7 0

Answer:

The correct answer is the expression of the volume of the sphere is \frac{4}{3} ×π× 8^{3} and the expression of the volume of the leftover space is π×8^{3}×16 - \frac{4}{3} ×π× 8^{3}.

Step-by-step explanation:

Height of the given cylindrical can = 16 cms.

Diameter of the given cylindrical can = 16 cms.

Now a spherical ball just fits in this given cylindrical can. Thus the diameter of the ball is equal to the diameter of the can, equal to 16 cms.

Thus the expression of the volume of ball = \frac{4}{3} ×π×r^{3} = \frac{4}{3} ×π× 8^{3}

Expression of the volume of the cylindrical can is π×r^{3}× h = π×8^{3}×16

Expression of the leftover volume would be volume of can minus volume of the ball = π×8^{3}×16 - \frac{4}{3} ×π× 8^{3}.

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balandron [24]

Hey!

-----------------------------------------------

Solution:

Remember to follow PEMDAS.

= -2 - (-8) + 4 - (-7) / 3.5

= -2 - (-8) + 4 - (-2)

= 6 + 4 - (-2)

= 10 - (-2)

= 12

-----------------------------------------------

Answer:

12

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Hope This Helped! Good Luck!

3 0
3 years ago
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1 ft. 81/4 inches remaining

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4 years ago
Consider the open sentence 2x + 3___x^2 + 2^2 ( show all your work )
nikklg [1K]

The answer would be less than

2(3)+3= 9

<u>3^2 + 2^2 = 9+4 = 13 </u>

4 0
3 years ago
Marie and Jorge are both trying to lose weight. After 3 months they compared their weight loss. Marie’s weight went from 175 to
Nonamiya [84]
Since I do not have answer choices, I can conclude things that may or may not be an answer choice. Just from the problem, you can tell that Marie lost more weight, because 175 -150 = 25, while 190 - 180 = 10. Indirectly, you can say that she might have worked out more, or changed her diet, although that would merely be an inference. If you have answer choices please let me know and I can answer more. Hope this helps. Please rate, leave a thanks, and mark a brainliest answer (Not necessarily mine).
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3 years ago
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RoseWind [281]

Answer:

x(\sqrt[12]{x^5} )

Step-by-step explanation:

We need to remember 2 rules when doing these:

1. \sqrt[n]{x^a} =x^{\frac{a}{n}}

2. x^a*x^b=x^{ab}

Using these 2 rules, we can simplify the product (steps shown below):

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7 0
3 years ago
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