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
Lemur [1.5K]
3 years ago
15

What is the volume of a sphere with the surface area of 25 pi yd^2 ?

Mathematics
1 answer:
ratelena [41]3 years ago
5 0

Answer:

V=65.4 yd^{3}

Step-by-step explanation:

To be able to calculate the sphere's volume, we have to know first what is the sphere's radius. The formula to calculate said volume is:

V=\frac{4}{3}. \pi . r

And the sphere's surface area formula is:

SA=4. \pi . r^{2}

If we know that the value of the area is 25 pi . yd^{2} we can sustitute:

25 pi . yd^{2}=4. \pi . r^{2}

Now we can isolate the radius of the sphere.

\frac{25 pi . yd^{2}}{4. \pi }= r^{2}

\sqrt{\frac{25 pi . yd^{2}}{4. \pi }}=r

\sqrt{\frac{25 pi . yd^{2}}{4. \pi }}=r

\sqrt{6.25 yd^{2}}=r

2,5 yd =r

Now that we know the radius we can sustitute it's value on the volume formula, and the result is the volume of the sphere!

V=\frac{4}{3}. \pi . (2,5 yd)^{3}

V=\frac{4}{3}. \pi . 15.625 yd^{3}

V=65.4 yd^{3}

You might be interested in
Nine teammates go to the local sandwich shop. All nine
andrezito [222]

Answer:

D)

Step-by-step explanation:

No, a reasonable estimate is around 9. $6 = $54

I got it right on my test

3 0
3 years ago
Which of the following is the scatter plot of the data below?
soldier1979 [14.2K]
If you look at the points, you can find out
4 0
3 years ago
Read 2 more answers
Consider the following equation,<br> bh + hr = 25<br><br> Solve the equation for h
Nikolay [14]

Answer:

Step-by-step explanation:

4 0
3 years ago
What is the answer? please help
amid [387]

Answer:

<h2><em>(</em><em>4</em><em>,</em><em>5</em><em>)</em></h2>

<em>sol</em><em>ution</em><em>,</em>

<em>A</em><em>(</em><em>2</em><em>,</em><em>7</em><em>)</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>></em><em> </em><em>(</em><em>X1,</em><em>y1</em><em>)</em>

<em>B</em><em>(</em><em>6</em><em>,</em><em>3</em><em>)</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>></em><em>(</em><em>x2</em><em>,</em><em>y2</em><em>)</em>

<em>now</em><em>,</em>

<em>ab = ( \frac{x1 + x1}{2}  \: , \frac{y1 + y2}{2} ) \\  =  (\frac{2 + 6}{2}  \: , \frac{7 + 3}{2} ) \\  = ( \frac{8}{2}  \:,  \frac{10}{2} ) \\  = (4 ,\: 5)</em>

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>

<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em><em>.</em>

7 0
3 years ago
Read 2 more answers
An apple producer sells their product in bags that each contain 161616 apples. These apples have a mean weight of 808080 grams a
Dominik [7]

Answer:

Sample mean weight = 808080 grams

Step-by-step explanation:

The number of samples, n = 161616

The mean weight, \mu = 808080

Standard deviation, \sigma = 555

The sample mean weight, \mu_{\bar{x}} = Mean weight, \mu

Since \mu_{\bar{x}} = \mu

Sample mean weight, \mu_{\bar{x}} = 808080

6 0
3 years ago
Other questions:
  • How many times greater is the value of 7 in3,781 than the value of 7 in 4,471
    11·1 answer
  • What is the radius of the circle given by the equation below? x2 - 2x + y2 - 2y - 98 = 0?
    15·1 answer
  • 45 Points!!!
    13·1 answer
  • The bird house and your friends yard cast a shadow that is 14 feet long your friend is 5 feet tall and Casts a shadow that's 3.5
    9·2 answers
  • If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by ~p → ~q?
    5·1 answer
  • 30% of 20<br>30% of 30<br>30% of 40
    12·2 answers
  • Andy bought 3 grey t-shirts and 2 polo shirts and spent $13.95. On another trip andy bought 2 grey t-shirts and 5 polo shirts an
    5·1 answer
  • The square of p varies inversely as q. When Q=6 p=4
    14·1 answer
  • Do exponential functions have horizontal asymptotes?
    9·1 answer
  • I need help ASAP with this pyramid scale factor question!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!