A basketball id stored inside a cylindrical container as shown. The height of the cylinder is 8 inches and its radius is 4 inches. The radius of the basketball is 4 inches. What is the total volume in cubic inches of the space inside the cylinder that is unoccupied

Answers

Answer 1

Answer:

[tex]134.041\ \text{in}^3[/tex]

Step-by-step explanation:

r = Radius of sphere = Radius of basketball = 4 inches

h = Height of cylinder = 8 inches

Volume of unoccupied space will be the difference in volume between the cylinder and the basketball

[tex]\Delta V=\pi r^2h-\dfrac{4}{3}\pi r^3\\\Rightarrow \Delta V=\pi r^2(h-\dfrac{4}{3}r)\\\Rightarrow \Delta V=\pi\times 4^2(8-\dfrac{4}{3}\times 4)\\\Rightarrow \Delta V=134.041\ \text{in}^3[/tex]

Unoccupied volume in the container is [tex]134.041\ \text{in}^3[/tex].


Related Questions

What are the values of m and o In the diagram below?

Answers

Answer:

What diagram below?

Step-by-step explanation:

There's no picture.

What is the surface area of a right rectangular prism with the dimensions 4 m by 3 m by 10 m

Answers

The surface area is 164

Is the function below linear or non linear? y = 5 + 3(x-4)​

Answers

Answer:

Linear

Step-by-step explanation:

The rule is that linear equations must have exponents of 1 (a sloped line) or 0 A verticle or horizontal line). This function can be simplified to

y = 3x - 12 + 5 = 3x - 7 which is the standard form of a linear equation

y - mx + b where m is the slope and m is the y intercept.

The average commute times for employees of a large company is 23 minutes.

The commute time of 12 employees are

25, 33, 26, 29, 17, 29, 42, 19, 15, 52, 11, and 14.



Enter the sample mean and the population mean in the boxes.

x¯ =
min

μ =
min

Answers

Answer:

x¯ = 26 min

μ = 23 min

Step-by-step explanation:

I took the test and these were the answers.

Solve the equations for x:
x^2+nx-mx-nm=0

Answers

Answer:

x =  [(m - n +/-√ (n^2 + m^2 + 2nm)]/2.

Step-by-step explanation:

x^2+nx-mx-nm=0

x^2 + (n - m)x - nm = 0

Using the quadratic formula:

x = [-(n - m) +/- √((n - m)^2 - 4*-nm)) / 2

= [(m - n +/- √ (n^2 + m^2 - 2nm + 4nm)]/2

=   [(m - n +/-√ (n^2 + m^2 + 2nm)]/2

what is
-3 (0.5 + 3p)= -6 (p - 5.9)

Answers

Answer:

Step-by-step explanation:

p  =  − 12.3

May I please have brainiest

Last year a video game cost $50. Price increase by 25% this year. What is the new price of this video game?

Answers

75.00$ dollars.......

How would you find the missing value? 15/4=5/x
15(4) = 5x
15(x) = 5(4)
15 14 =5+x

Answers

Using the intersecting chord theorem you multiply the two lengths of one line together to equal the multiplication of the two dimensions on the second line.

The answer would be 15(4) = 5x


Mike bought a new shirt for $39.95. The sales tax in his city is 8.25%. What was the sales tax amount on
the shirt that Mike bought? Sales tax =

Answers

Answer:

$3.30

Step-by-step explanation:

Shirt price * city sales tax = sales tax amount on shirt. $39.95 * 0.0825 = $3.30

What is the equation in slope-intercept form
of the line that passes through the points
(-3, 10) and (3, 14)?

Answers

Answer:

C) y=2/3x+12

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(14-10)/(3-(-3))

m=4/(3+3)

m=4/6

simplify

m=2/3

y-y1=m(x-x1)

y-10=2/3(x-(-3))

y-10=2/3(x+3)

y=2/3x+6/3+10

y=2/3x+2+10

y=2/3x+12

A room is 90 inches wide, and 145 inches long. What is the perimeter of the room?

Answers

Answer:

I think 50

Step-by-step explanation:

Answer:

470 inches

Step-by-step explanation:

p = 2l + 2w

p = 2*145 + 2*90

p = 290 + 180

p = 470

By visual inspection, determine the best-fitting regression model for the
scatterplot
X
5
-10
A. Linear
B. Quadratic
C. Exponential
D. No pattern

Answers

Answer:linear

Step-by-step explanation:

it is a straight line

The best-fitting regression model for the scatterplot is linear. Thus, the correct answer is an option (A).

As per the given figure, the data points on a scatterplot, with the dependent variable (y-axis) plotted against the independent variable (x-axis).

Looking at the general pattern of the data points on the scatterplot.

Here, they follow a roughly linear trend.

This means that the data points roughly form a straight line or a curve that looks like a straight line.

Thus, the best-fitting regression model for the scatterplot is linear.

Hence, the correct answer is option (A).

Learn more about the regression model here:

https://brainly.com/question/24177976

#SPJ7

Please help!! I will give brainliest and no links!!
Problem:
The Winter fest Race will be held in December. A course was planned that
required runners to run 20 kilometers (km.) The race organizers planned the
race in 3 parts. Part 1 of the course is 4,000 meters (m). Part 2 of the race
is 6,000 meters (m.) Tommy said that there is no need for the Part 3 and that
Part 1 and 2 are 20 km. He is incorrect. How many meters will be required
for Part 3

Answers

Answer:

10,000m

Step-by-step explanation:

1 kilometer is equivalent to 1,000 meters. Therefore, we can find out why Tommy was incorrect and how many meters will be required for part 3 by converting the meters in this question to kilometers.

4,000m = 4km

6,000m = 6km

4km plus 6km is equal to 10km, which is nowhere near 20km. To find out how many kilometers we need for part 3, we need to subtract the number of kilometers we already have (10km) from the total number we need for the whole race (20km).

20km – 10km = 10km

Since the question is asking us to give the answer in meters, we need to multiply 10km by 1,000.

10km = 10,000m

The answer is 10,000m.

find the unit rate for each graph.
i need an answer FAST!!!

Answers

Answer:

1 row for 13 charts

Step-by-step explanation:

2 rows/26charts=1row/13charts

Answer:

Step-by-step explanation:

1 row for 13 charts like he said

Miguel has a toolbox that measures 18 1/2 inches by 12 1/2 inches by 4 inches. Fill in the formula to find the volume of the toolbox

Answers

Answer:

925 cubic inches

Step-by-step explanation:

Miguel has a toolbox that measures 18 1/2 inches by 12 1/2 inches by 4 inches. Fill in the formula to find the volume of the toolbox

The toolbox is shaped as a Rectangular prism

The volume of a rectangular prism = Length × Width × Height

Hence,

Length = 18 1/2 inches

Width = 12 1/2 inches

Height = 4 inches

Volume of the toolbox =

18 1/2 inches × 12 1/2 inches × 4 inches

= 925 cubic inches

Please help will Mark brainliest

Answers

Answer:

well it is explained here

Step-by-step explanation:

copy, paste download file open and expination is here  

check in the comments

82.8 cm measured to the nearest tenth of a cm.

Answers

Answer:

80.0 cm

...................

Please help i will do anything!! Pleasee

Answers

Answer:

i will say the first one is yes and then is the third one

Step-by-step explanation:

PLEASE HELP ME URGENT what is the answer

Answers

OMG U GO TO ACELLUS TOO???
the answer is 90 i think

A lenght of wire is bent to make a square of side 3.2 cm a: what is the length of wire in the square B: if the wire is silver costing 50 naira per centimetre what is the cost of the square C: 20 of the squares are linked together to make a necklace what does it cost to make the necklace

Answers

Answer:

12.8cm

640 naira

12,800 naira

Step-by-step explanation:

length of the wire is equal to the perimeter of a square

perimeter of a square = 4 x length

4 x 3.2 = 12.8 inches

cost of the square = length of the wire x 50

12,8 x 50 = 640

20 x 640 = 12800

Noah says, "If I try to write 100 expanded, it should have zero factors that are 10, so it must be equal to 0." Do you agree? Why or why not?

Answers

Answer:

Disagree

Step-by-step explanation:

10^0

According to the laws of indices, anything raised to the power of 0 will equate to 1. Therefore, based on this established mathematical principle, Noah's assertion about 10^0 being equal to 0 is false.

Hence, I disagree.

Ron and amber bought a pizza, Ron ate 3/10 of the pizza, Amber ate 1/10 of the pizza. Together, which fraction of the pizza did they eat?


A. 1/5

B. 1/3

C. 1/4

D. 3/100

E. 2/5

Answers

2/5 because together they ate 4/10 of the pizza which is 0.4 divided and 2/5 dived is 0.4 not the best explanation but you still get the answer

Answer:

E

Step-by-step explanation:

3/10 + 1/10 = 4/10

simplify 4/10

4/2 and 10/2

ANSWER = 2/5

EXPLAIN how you find the volume of hexagonal

Answers

To find the volume of a regular hexagonal prism, we can use the formula V = 3ash, where a = apothem length, s = length of a side of the base, and h = height of the prism.

Karen has a cube that has a side length of 6 in. The net of the cube is shown.


What is the surface area of the cube?



A 36 square inches

B 144 square inches

C 180 square inches

D 216 square inches

Answers

Answer:

C. 180 square inches

Step-by-step explanation:

#carry on learning #mark brainlits

what is the asymptote of the exponential function y=3^x-3

A. y=3
B. y= -3
C. x=3
D. x= -3

Answers

Pretty Sure it’s A I hope I can help

Find an equivalent fraction for the decimal number. In your final answer, include all of your work.

___
0. 901

Answers

Answer:

901/1000

hope this helps

have a good day :)

Step-by-step explanation:

A possible answer is 901/1000, because 0.901 x 1000 is equal 901.

9
Which expression is equivalent to 2(3 - x) - 12 + 4x?
A
3x - 6
B
3x - 7
С
2x - 6
D
2x - 7
RELEA

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{2(3 - x) - 12 + 4x}[/tex]

[tex]\large\textsf{DISTRIBUTE 2 WITHIN the PARENTHESES}[/tex]

[tex]\large\text{2(3) + 2(-x) - 12 + 4x}[/tex]

[tex]\large\textsf{2(3) = \bf 6}[/tex]

[tex]\large\textsf{2(-x) = \bf -2x}[/tex]

[tex]\large\textsf{New EQUATION: \text{6 - 2x - 12 + 4x}}[/tex]

[tex]\large\textsf{COMBINE the LIKE TERMS (if they are any)}[/tex]

[tex]\large\text{(-2x + 4x) + (6 - 12)}[/tex]

[tex]\large\text{-2x + 4x = \bf 2}[/tex]

[tex]\large\text{6 - 12 = \bf -6}[/tex]

[tex]\large\text{= 2x - 6}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf Option C. 2x - 6}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Round 1379842 to the nearest 1000

Answers

Answer: I think 1000 sorry if I’m wrong have a great day!

Step-by-step explanation: 1,379,842 = 1000

1379842 = 1380000

The 9 is in the thousands place with an 8 next to it so you round up which makes the 9 a 10. So you add 1 to 7 and get 8. Which leaves you with 1380000

Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.

Answers

Answer:

Let the 1st paycheck be x (integer).

Mrs. Rodger got a weekly raise of $ 145.

So after completing the 1st week she will get $ (x+145).

Similarly after completing the 2nd week she will get $ (x + 145) + $ 145.

= $ (x + 145 + 145)

= $ (x + 290)

So in this way end of every week her salary will increase by $ 145.

does anybody know the answer to this?

Answers

Answer:

C (136)

Step-by-step explanation:

The triangle is only rotated, the measure of <D doesn't change

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