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Semmy [17]
2 years ago
15

I need help on number 6 plz!

Mathematics
1 answer:
expeople1 [14]2 years ago
8 0

Woah that looks hard

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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

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3 0
1 year ago
If AD=BD, which of the following relationships can be proved and why?
myrzilka [38]

Answer: The answer would be b, the side-angle-side postulate. :)

Step-by-step explanation:

This would be due to the definition of a bisector, and the reflexive property.

3 0
3 years ago
Adrianna can read 7 pages in 10 minutes. At this rate,how many pages can she read in 25 minutes
Westkost [7]

Use a proportion. 7/10 = x/25. Multiply 10 by 2.5 to get 25. Similarly, multiply 7 by 2.5 to get 17.5. 17 1/2 pages.

5 0
3 years ago
Read 2 more answers
What is the solution to the following equation?<br><br> 5 + 3 (y - 4) = 4y +10
Umnica [9.8K]

Answer:

5 +3(y-4) = 4y +10

5 + 3y -12= 4y +10

-7 +3y = 4y + 10

3y - 4y = 10 + 7

-y = 17

y= -17

8 0
2 years ago
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11-3(a-2)=27 I NEED TO SHOW WORK HELP
Rina8888 [55]

Answer:

3.3 recurring

Step-by-step explanation:

1) expand bracket

11-3a+6=27

2)rearrange equation

11+6=27+3a

11+6-27=3a

17-27=3a

-10=3a

-10/3=a

a=3.3 recurring

5 0
3 years ago
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