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
Daniel [21]
3 years ago
8

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 18 cm^3. What is the volume of the sphere

?
Mathematics
2 answers:
lakkis [162]3 years ago
6 0

To solve this problem you must apply the proccedure shown below:

1. The formulas for calculate the volume of a cylinder and and the volume of a sphere, are:

Vc=\pi r^{2} h\\ Vs=\frac{4}{3}\pi r^{3}

Where r is the radius and h is the height.

2. You have that the sphere and the cylinder have the same radius and height. By definition, the height of the sphere is twice its radius. Therefore, the height of the cylinder is:

h=2r

3. Substitute it into the formula for calculate the volume of a cylinder:

Vc=\pi r^{2} (2r)\\ Vc=2\pi r^{3}

4. Now, solve for \pi r^{3} and substitute it into the formula for calculate the volume of a sphere:

\pi r^{3}=\frac{Vc}{2}

Vs=\frac{4}{3}(\frac{Vc}{2})

5. Now, calculate the volume of the sphere:

Vs=\frac{4}{3}(\frac{18cm^{3}}{2}) \\ Vs=12cm^{3}

The answer is: 12cm^{3}

pychu [463]3 years ago
4 0

A) 12 cm cubed

I just took the quiz on edge

You might be interested in
Ama Maria walks 9 miles in 3 hours. How many miles does she walk per hour?
Ludmilka [50]
Ana maria walks 3 miles per hour
3 0
3 years ago
Read 2 more answers
PLZ HELP!! A die is rolled. What is the probability of rolling a 2 or a 6? >>Also, is this an mutually exclusive or inclus
Nutka1998 [239]
The probability would be 2/6, or 1/3 if you were to reduce the fraction.
8 0
3 years ago
Read 2 more answers
List four ratios that are equivalent to 10:4
NNADVOKAT [17]
5:2 20:8 30:12 60:16

3 0
3 years ago
Read 2 more answers
Complete the square to slove 3x^2+12x =9​
saveliy_v [14]
Answer:
(x + 2)² = 7
Step-by-step explanation:
We have to complete the square in the given equation
3x² + 12x = 9
3x² + 12x - 9 = 0
3[x² + 4x -3] = 0
3[x² + 2(2x) + 4 - 4 - 3] = 0
3[x² + 2(2x) + 4] - 3 × 7 = 0
3[x² + 2]² - 21 = 0
(x + 2)² = = 7
Therefore, the square form of the equation is (x + 2)² = 7

Hope this helps (:
8 0
3 years ago
A company produces a set of blocks. It costs them $5 to make. They mark it up 300% when they sell it to a toy distributor. The t
Nostrana [21]
Hello! So, the toy company makes blocks that cost $5 to make. Then, they mark it up by 300%, which is marking the price up by 4. 100% markup is doubling the price, 200% is tripling the price, and 300% marks the price up by 4. Then, the blocks would cost $20. After that, the price would be marked up by 150%, so that’s 2.5 times the price of the original. When you do $20 by 2.5, then the blocks cost $50. The local toy store will mark the block up by 200%, which as said before, is tripling the price. Then, you do 50 * 3, and then the price of the blocks is $150. Then, it gets marked off by 30% and 10% of 150 is 15, so 30% off 150 is 45. When you do 150 - 45, the difference is $105. Then, you take off an additional 15%, But you would still have to pay 85% of the original price. You would do 105 * 0.85, and then you would get $89.25 for the blocks. But that’s not all. You have to pay 8% sales tax for the blocks. You can find the tax by doing 89.25 * 0.08 and then adding the prices together. Or, you can do 89.25 * 1.08 to find the total price. Either way, the product should be 96.39. The total price you paid for the blocks is $96.39.
6 0
3 years ago
Other questions:
  • The height in feet of a rocket launched into the air is modeled by the function (t)=-16t^2+160t+300 where t is time in seconds.
    11·1 answer
  • 6x-y in a verbal expression
    11·1 answer
  • Drag the numbers to complete the following statements.<br> Numbers may be used more than once.
    11·1 answer
  • Round 12.5478 to the nearest hundredths
    15·1 answer
  • 50 POINTS + BRAINLIEST <br><br> PLEASE DONT STEAL POINTS
    13·2 answers
  • What is the rat or change of the function?
    9·1 answer
  • What is the value of x+y in this question and what’s the equation?
    11·1 answer
  • Can somebody help me with this I’m not that good when it comes to money
    5·2 answers
  • 7x - y = 7 plot the points on a graph line
    13·1 answer
  • Karen purchased a used vehicle that depreciates under a straight line method the initial value if the car is 4400 and the salvag
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!