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Sphinxa [80]
3 years ago
13

HELP ASAP DUE IN 20 MINUTES

Mathematics
1 answer:
IrinaK [193]3 years ago
8 0

Answer:

x = 3

< D = 26

< E = 54

Step-by-step explanation:

I did the math

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A cylindral drill with radius 5 cm is used to bore a hole through the center of a sphere with radius 9 cm. Find the volume of th
masya89 [10]

The volume of the ring-shaped remaining solid is <u>1797 cm³</u>.

The volume is the total space occupied by an object.

The volume of a sphere of radius r units is given as (4/3)πr³.

The volume of a cylinder with radius r units and height h units is given as πr²h.

In the question, we are asked to find the volume of the remaining solid when a sphere of radius 9cm is drilled by a cylindrical driller of radius 5cm.

The volume will be equal to the difference in the volumes of the sphere and cylinder, where the height of the cylinder will be taken as the diameter of the sphere (two times radius = 2*9 = 18) as it is drilled through the center.

Therefore, the volume of the ring-shaped remaining solid is given as,

= (4/3)π(9)³ - π(5)²(18) cm³,

= π{972 - 400} cm³,

= 572π cm³,

= 1796.99 cm³ ≈ 1797 cm³.

Therefore, the volume of the ring-shaped remaining solid is <u>1797 cm³</u>.

Learn more about volumes of solids at

brainly.com/question/14565712

#SPJ4

3 0
2 years ago
HELP<br><br><br><br><br> QUICK<br><br><br><br><br> LOL THANKS !!!
Anon25 [30]

Answer:

0.6

Step-by-step explanation:

The x increases by 5, while y increases by 3

Lets use the method, which is \frac{rise}{run}.

Keep in mind that x goes horizontally along the axis, while y goes vertically on the axis.

So plug the numbers in.

\frac{3}{5} = 0.6

Hence, the constant proportionality is 0.6.

8 0
3 years ago
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A subway train arrives every 10 minutes during rush hour. We are interested in the length of time a commuter must wait for a tra
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Answer:

A subway train arrives every 10 minutes during rush hour. We are interested in the length of time a commuter must wait for a train to arrive. The time follows a uniform distribution. Find u, which is the average length of time a commuter must wait for a train to arrive. Round to one decimal place. = 3

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3 years ago
Marcia has 412 flowers for centerpieces she uses 8 flowers for each center how many center pieces can she make
a_sh-v [17]

Answer:

5l.5

Step-by-step explanation: 412 divieded into 8 is 51 or 51.5

5 0
3 years ago
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Write a recursive rule for the sequence 4,10,16,22
Phantasy [73]

Answer:

a_{n+1} = a_{n} + 6

Step-by-step explanation:

The terms have a common difference d between consecutive terms, that is

10 - 4 = 16 - 10 = 22 - 16 = 6

To obtain the next term add 6 to the previous term ( recursive rule ), thus

a_{n+1} = a_{n} + 6 with a₁ = 4

8 0
3 years ago
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