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
lawyer [7]
1 year ago
14

A cylindrical container is packaged inside a prism-shaped box. the box has a volume of 96 cubic units. if the container has a di

ameter of 4 units and a height of 6 units, what is the volume of the empty space between the cylinder and the box? round the answer to two decimal places. a. 20.60 cubic units b. 37.77 cubic units c. 51.27 cubic units d. 75.40 cubic units
Mathematics
1 answer:
tiny-mole [99]1 year ago
7 0

Volume is a three-dimensional scalar quantity. The volume of the empty space is 20.602 units³.

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the volume of the prism, the box is 96 units³ and the diameter of the cylindrical container is 4 units(Radius=2 units), while the height of the cylinder is 6 units. Therefore, The volume of the empty space is,

The volume of the empty space

= Volume of prism - Volume of the cylindrical container

= 96 units³ - (π×2²×6) units³

= 96 units³ - 75.398 units³

= 20.602 units³

Hence, the volume of the empty space is 20.602 units³.

Learn more about Volume:

brainly.com/question/13338592

#SPJ1

You might be interested in
Complete the square and put this function in vertex form: f(x)=x^2+20x+97
Fofino [41]

Answer:

Step-by-step explanation:

f(x)=(x²+20x+100) -3  because : 97 = 100 -  3

f(x) = (x+10)² -3 ....vertex form

3 0
3 years ago
The perimeter of a rectangular baking sheet is 58 inches and its area is 201.25 in.2. What are the length and width of the bakin
anzhelika [568]

Answer:

Length=17.5\ in\\\\Width=11.5\ in

Step-by-step explanation:

The formula for calculate the Area of a rectangle is:

A=lw

Where "l" is the lenght and "w" is the width.

And the formula for calculate the peimeter of a rectangle is:

P=2l+2w

Where "l" is the lenght and "w" is the width.

We know that the perimeter of the rectangular baking sheet is 58 inches and its area is 201.25 in². Then:

A=201.25\ in^2\\\\P=58\ in

<u>The steps are:</u>

1. Solve for the "l" from the formula A=lw:

A=lw\\\\l=\frac{A}{w}\\\\\l=\frac{201.25}{w}

2. Substitute l=\frac{201.25}{w} into the formula P=2l+2w and solve for "w":

58=2(\frac{201.25}{w})+2w\\\\58=\frac{402.5}{w}+2w\\\\58=\frac{402.5+2w^2}{w}\\\\58w=402.5+2w^2\\\\2w^2-58w+402.5=0

Applying the Quadratic formula x=\frac{-b\±\sqrt{b^2-4ac}}{2a}, we get:

x=w=\frac{-(-58)\±\sqrt{(-58)^2-4(2)(402.5)}}{2(2)}\\\\w_1=17.5\\\\w_2=11.5

3.  Substitute w_1=17.5 into l=\frac{201.25}{w}:

l=\frac{201.25}{17.5}=11.5

4. Substitute w_2=11.5 into l=\frac{201.25}{w}:

l=\frac{201.25}{11.5}=17.5

Therefore, since the value of the lenght of a rectangle must be greater that the value of the width, we can conclude that the lenght and the width of the rectangular baking sheet are:

l=17.5\ in\\\\w=11.5\ in

8 0
3 years ago
-144r = -12rk find the value
OLga [1]

k = 12

cancel out the r on both sides

then divide -144 by -12.

you get 12.

5 0
3 years ago
Quadrilateral abcd is inscribed in a circle with m∠a = (x)degrees, m∠b = (2x - 10)degrees, and m∠c = (3x)degree. what is m∠d?
Lynna [10]
Hello,

When you have a polygon inscribed in a circle, the opposite angles are supplementary.

So we can start by saying that A + C = 180. Or x + 3x = 180. This gives us a value of 45 for x.

If we input that in for angle B, we get: 2(25) - 10 = 80.

If angle B = 80, then angle D must be 100, because the angles are supplementary.

Good luck,
MrEQ
6 0
3 years ago
Please do these no fake stuff please. Click on the paperclip to see problems.
inessss [21]

Answer:

Which problems ?

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • What is the first step in solving, 3x - 12y=5 3y -x=9, using the elimination method
    12·1 answer
  • Geometry help 10 points
    5·2 answers
  • The blue segment below is a radius of 00. What is the length of the diameter
    7·1 answer
  • A remote control uses two batteries. If I have 5 remote controls and 1 pack of 8 batteries, will I have enough for all of the re
    12·1 answer
  • Please help me with this math question​
    15·1 answer
  • IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. If a certain statistician has an IQ of 112
    11·1 answer
  • Which trigonometric ratio should you use to find X
    5·2 answers
  • The longest side of a triangle is 80cm more than the second and 130cm more than the shortest side and its perimeter is 540cm. fi
    13·1 answer
  • (8x + 9) + (15 - 8x)
    8·1 answer
  • 2. Guelmy played 4 different video games in 2 hours. At this same rate, how many video games would he play in 5 hours?​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!