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
Butoxors [25]
3 years ago
11

You wish to package a spherical globe inside a cubical box . The diameter of the globe is 30 centimeters . How much empty space

is there inside the rectangular prism ( i.e. how much space is there between the prism and the globe ) ? Hint Volume Rectangular Prism is L x W x H
Mathematics
1 answer:
Aneli [31]3 years ago
5 0

Answer:

<h2>The empty inside the box is 12,870 cubic centimeters, approximately.</h2>

Step-by-step explanation:

Givens

  • The diameter of the globe (sphere) is 30 centimeters,
  • The box must has dimensions 30x30.

We need to find each volume to subtract them.

V_{box}=(30cm)^{3}=  27,000 \ cm^{3}

V_{sphere}=\frac{4}{3} \pi (15cm)^{3} \approx 14,130 \cm^{3}

The difference betweem the box and the sphere is

\Delta V=27,000 - 14,130 = 12,870 \ cm^{3}

Therefore, the empty inside the box is 12,870 cubic centimeters, approximately.

You might be interested in
What is the sum? 3 y / Y 2 + 7 y + 10 + 2 / y + 2​
kap26 [50]

Answer:

  5/(y+5)

Step-by-step explanation:

Perhaps you want the sum ...

  \dfrac{3y}{y^2+7y+10}+\dfrac{2}{y+2}\\\\=\dfrac{3y}{(y+2)(y+5)}+\dfrac{2(y+5)}{(y+2)(y+5)}=\dfrac{3y+2(y+5)}{(y+2)(y+5)}\\\\=\dfrac{5y+10}{(y+2)(y+5)}=\dfrac{5(y+2)}{(y+2)(y+5)}=\boxed{\dfrac{5}{y+5}}

_____

<em>Comment on rational expressions</em>

When writing ratios in plain text, it is imperative to put parentheses around numerators and denominators. (If the numerator is a product only, then parentheses are optional.)

Your expression might be properly written as ...

  3y/(y^2 +7y +10) +2/(y+2)

As you have written it, it simplifies to ...

  3(y/y)2 +7y +10 +2/y +2 = 3·2 +7y +2/y +12

  = 7y +2/y +18

Please note, too, the exponentiation symbol (^).

6 0
3 years ago
Urgent help!!!<br> I'll choose brainlest!<br> Plsss
kipiarov [429]
A) volume equals = length x width x height
2.8m is the height
1.2m is the width
4.8m is the length
so 2.8m x 1.2m x 4.8m = 16.128m³  is your answer
b)1 cubic meter is 1000
2.8m = 2800L
1.2m = 1200L
4.8m = 4800L
so your going to add those up
2800L + 1200L + 4800L = 8800L  is you answer



7 0
3 years ago
Read 2 more answers
Find the volume of the cylinder. round to the nearest tenth.
vaieri [72.5K]

Answer:

3217.00

Step-by-step explanation:

V=πr^2h=π·8^2·16≈3216.99088

5 0
3 years ago
Read 2 more answers
Is 210879 divisible by 3
Setler79 [48]

Answer:

Yes

Step-by-step explanation:

210879 divided by 3 equals 70293.

7 0
3 years ago
Read 2 more answers
What are the fourth roots of 6+6√(3i) ?
Helen [10]

Answer:

Step-by-step explanation:

The genral form of a complex number in rectangular plane is expressed as z = x+iy

In polar coordinate, z =rcos ∅+irsin∅ where;

r is the modulus = √x²+y²

∅ is teh argument = arctan y/x

Given thr complex number z = 6+6√(3)i

r = √6²+(6√3)²

r = √36+108

r = √144

r = 12

∅ = arctan 6√3/6

∅ = arctan √3

∅ = 60°

In polar form, z = 12(cos60°+isin60°)

z = 12(cosπ/3+isinπ/3)

To get the fourth root of the equation, we will use the de moivres theorem; zⁿ = rⁿ(cosn∅+isinn∅)

z^1/4  = 12^1/4(cosπ/12+isinπ/12)

When n = 1;

z1 =  12^1/4(cosπ/3+isinn/3)

z1 = 12^1/4cis(π/3)

when n = 2;

z2 = 12^1/4(cos2π/3+isin2π/3)

z2 = 12^1/4cis(2π/3)

when n = 3;

z2 = 12^1/4(cosπ+isinπ)

z2 = 12^1/4cis(π)

when n = 4;

z2 = 12^1/4(cos4π/3+isin4π/3)

z2 = 12^1/4cis(4π/3)

8 0
3 years ago
Other questions:
  • JESUS IS THE ONLY SAVIOR!
    14·2 answers
  • Which lines best approximate the directrices of the ellipse? Round to the nearest tenth. x = −4.6 and x = 4.6 x = −3.5 and x = 3
    8·2 answers
  • The center of a circle is at (−3, 1) and its radius is 9. What is the equation of the circle?
    14·1 answer
  • The square root of 110 is between which two integers
    6·1 answer
  • Please help me <br>i neeed an help from you guys
    8·2 answers
  • In the diagram below, what is the ratio of unshaded parts to shaded parts?
    5·2 answers
  • Help please, thank you
    9·2 answers
  • O is the circumcenter of 4ABC. If OB = OC = BC, what is ∠BAC?
    5·2 answers
  • CAN IN THIS APP HELPS ME I POSTED THE QUESTION 4 TIMES LOST ALL MY POINTS PLEASE Help please help me
    15·1 answer
  • 1) A number which has more than two
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!