1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dexar [7]
1 year ago
10

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

e ring-shaped solid that remains.
Mathematics
1 answer:
masya89 [10]1 year ago
3 0

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

You might be interested in
Afton made a chicken dish for diner. She added a 10-ounce package of vegetables and a 14-ounce package of rice to 40 ounces of c
vichka [17]
The correct answer should be 4lb.
4 0
3 years ago
PLEASE HELP! ! ! urgent!
sertanlavr [38]

Answer:

6(\frac{1}{3} \times\frac{7}{5} )=(6\times\frac{1}{3} )\frac{7}{5}

Answer: B

<u>-------------------------</u>

Hope it helps...

Have a great day!!

8 0
3 years ago
Find the equation of the parabola that has zeros of x = –2 and x = 3 and a y–intercept of (0,–30).
Anit [1.1K]

Answer:

Removing answer.

4 0
2 years ago
PLEASE HELP ME ITS DUE IN 1 HOUR
Vadim26 [7]

Answer: Answer:Median: 10.5Lower quartile: 4Upper quartile: 16Explanation:Median:First, write the observations in ascending order or descending order.The formula to calculate the median is mean of (n/2) and (n/2+1)th observations, for even number of observationsn = 12 (even)Median = Mean of (6)th and (7)th observations = 10 + 11 divided by 2 = 21/2 = 10.5Therefore the median is 10.5.After writing in ascending or descending order the first and last terms justify the lower and upper limits respectively.They are:Lower quartile: 4Upper quartile: 16Question 2.the lengths of 10 pencils, in centimeters:18, 15, 4, 9, 14, 17, 16, 6, 8, 10Type below:_________________Answer:Median: 12Lower quartile: 4Upper quartile: 18Explanation:Median:First, write the observations in ascending order or descending order.The formula to calculate the median is mean of (n/2) and (n/2+1)th observations, for even number of observationsn = 10 (even)Median = Mean of (5)th and (6)th observations = 10 + 14 divided by 2 = 24/2 = 12Therefore the median is 12.After writing in ascending or descending order the first and last terms justify the lower and upper limits respectively.They are:Lower quartile: 4Upper quartile: 18Question 3.Make a box plot to display the data set in Exercise 2.Type below:_________________Answer:The above box plot represents the lower and upper quartiles, the median.Explanation:Box plot is drawn using the number line and the rectangle which is drawn above it.The ends of the rectangles say about the lower and upper limits and the middle line indicates the median.Question 4.The numbers of students on several teams are 9, 4, 5, 10, 11, 9, 8, and 6. Make a box plot for the data.Type below:_________________Answer: Explanation:Box plot is drawn using the number line and the rectangle which is drawn above it.The ends of the rectangles say about the lower and upper limits and the middle line indicates the median.Therefore the lower and upper quartiles are 4 and 11 respectively.Median:First, write the observations in ascending order or descending order.The formula to calculate the median is mean of (n/2) and (n/2+1)th observations, for even number of observationsn = 8 (even)Median = Mean of (4)th and (5)th observations = 8 + 9 divided by 2 = 17/2 = 8.5Therefore the median is 8.5.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
As the weight held by a spring increases, the length of the spring increases, proportionally. Suppose a 2-lb weight stretches a
meriva
The aswer would be B because you have to divide a couple numbers to get 20in. 
6 0
3 years ago
Other questions:
  • The following scatter plot represents the relationship between a person's weight and the number of calories the person burns in
    15·2 answers
  • The students in Mrs. Thompson's class have to do a book report. They were given the choice to read a historical fiction, non-fic
    11·2 answers
  • QUESTION 7<br><br> Change the following percent to a fraction.<br> ​<br><br> 1/7
    9·1 answer
  • What’s the name of the plane
    15·2 answers
  • What is x^2+( 5√2-x)^2= 5√2^2
    7·1 answer
  • There are 800 8th grade students at Washington Middle School. If 12 students are allowed to swim in the pool each day how many d
    5·2 answers
  • Use the image to the right for this question:
    9·1 answer
  • If anyone knows how to do this
    8·1 answer
  • PLS HELP ME !! ( WILL GIVE BRAINLIEST )
    11·1 answer
  • Please help with 2 and 3
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!