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
kirza4 [7]
4 years ago
15

What is the approximate radius of a sphere with a volume of 34 cm3?​

Mathematics
1 answer:
xz_007 [3.2K]4 years ago
5 0

Answer:

<h2>2.01 cm</h2>

Step-by-step explanation:

The formula of a volume of a sphere:

V=\dfrac{4}{3}\pi R^3

<em>R</em><em> - radius</em>

<em />

We have

V=34\ cm^3

Substitute:

\dfrac{4}{3}\pi R^3=34    <em>multiply both sides by 3</em>

3\!\!\!\!\diagup^1\cdot\dfrac{4}{3\!\!\!\!\diagup_1}\pi R^3=(3)(34)

4\pi R^3=102         <em>divide both sides by 4</em>

\dfrac{4\pi R^3}{4}=\dfrac{102}{4}

\pi R^3=\dfrac{51}{2}          <em>divide both sides by π</em>

\dfrac{\pi R^3}{\pi}=\dfrac{\frac{51}{2}}{\pi}

R^3=\dfrac{51}{2\pi}   <em>use π ≈ 3.14</em>

\R^3\approx\dfrac{51}{(2)(3.14)}

R^3\approx\dfrac{51}{6.28}\\\\R^3\approx8.121\to R\approx\sqrt[3]{8.121}\\\\R\approx2.01\ cm

You might be interested in
Which is the best estimate for the quotient 591.3 ÷ 29 A. 2 B. 3 C. 20 D. 30
nignag [31]
Round 591.3 to 600 and 29 to 30
Now divide 600 and 30 to get 20
The answer is C. 20
pretty easy, right?
Give 5 stars if this helped please!<span>
</span>
6 0
4 years ago
How can you graph m(x)=5x and then compare it to f(x)=x?
erastovalidia [21]
Graph the line y=5x. Then graph the line y=x. Then look at them and describe in what ways they are the same or different.
5 0
4 years ago
Find the volume of the following solid. Using cylindrical coordinates
Reika [66]

In cylindrical coordinates, the equations of the surfaces become

z = 4 - 4r^2 \\\\ z = (r^2)^2 - 1 = r^4 - 1

These surfaces intersect on the cylinder of radius 1 with cross sections parallel to the x,y-plane:

4 - 4r^2 = r^4 - 1 \\\\ \implies r^4 + 4r^2 - 5 = (r-1)(r+1)(r^2+5) = 0 \\\\ \implies r=1

Then in cylindrical coordinates, the volume of the space bounded by these surfaces is

\displaystyle \int_0^{2\pi}\int_0^1\int_{r^4-1}^{4-4r^2}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta = 2\pi \int_0^1 \int_{r^4 - 1}^{4-4r^2}r\,\mathrm dz\,\mathrm dr \\\\ = \pi \int_0^1 (4-4r^2)^2 - (r^4-1)^2 \,\mathrm dr \\\\ = \pi \int_0^1 (15-32r^2+18r^4-r^8)\,\mathrm dr = \boxed{\frac{352\pi}{45}}

7 0
3 years ago
Which equation has (2, 5) as a solution?
Anna007 [38]

Answer:

D

Step-by-step explanation:

6.2 + 8.5 = 12 + 40 = 52

6 0
3 years ago
Read 2 more answers
Brenda records 76 songs on 4 albums write as a rate
Ad libitum [116K]
19 songs per album
djdjdjd djdjdjd jdjdjdjdkdkdkdkdkdkdjxndmdmdjddjjdjddjdjdjdjdjfj or 19/1
6 0
3 years ago
Other questions:
  • Yes or no to indicate whether the statment is correct . 5,210divided by 17 is306r8 yes or no . 8,808divided by 42is 209r 30 yes
    7·1 answer
  • The sum of 4 consecutive intergers is 50, what is the first interger in this relationship
    14·1 answer
  • 1. |b|&lt;10
    11·1 answer
  • The access code for a cars security system consist of four digits the first digit cannot be 1 and the last digit must be odd how
    11·1 answer
  • Can someone help me and can y’all show me how you got the answer
    10·2 answers
  • a line with a slope of 1/8 passes through the point (8, 6). what is its equation in slope intercept form?​
    5·1 answer
  • Which comparison is incorrect?<br><br> -3 &gt; -7<br> -9 &gt; 4<br> -4 &gt; -6<br> 7 &gt; 5
    15·1 answer
  • Find the domain of y= √3x+3
    14·1 answer
  • Matthew receives a base weekly salary of $300 plus a commission of $50 each vacuum he sells what is the equation that models his
    9·1 answer
  • I WILL GIVE BRANLIEST AND FIVE STAR AND HEART ANDD LOTS OF POINTS<br> (if answered correctly)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!