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
givi [52]
3 years ago
11

A cylinder and a sphere have the same radius and volume. The height of the cylinder is 12 cm. What is the volume of the sphere r

ounded to the nearest whole number?
Pls help !
Mathematics
1 answer:
Sedaia [141]3 years ago
7 0

Answer:

3054

Step-by-step explanation:

The formula for cylinder volume is

V1 = π * r^2 *h

while formula for sphere volume is  

V2= 4/3 *  π  * r^3

Since the height of the cylinder is 12, we can substitute h the equation into

V1 = π * r^2 *12

The volume and radius of the cylinder are the same as the sphere, so we can combine both equations to find r.  

V1= V2

π * r^2 *12 =  4/3 *  π  * r^3  

12 = 4/3 * r

r= 12*3/4

r=9

After we find the radius, we can find the sphere volume

V2= 4/3 *  π  * r^3  

V2= 4/3 *  π  * 9^3  

V2=  3053.62 = 3054

You might be interested in
What is the best approximation of the solution to the
denis-greek [22]

Answer: Choice C.   (1, -6)

Explanation: The two lines cross at around this location. The solution point is on both lines at the same time.

3 0
3 years ago
Which is the equation of the line that passes through the points (-4, 8) and (1, 3)?
Andrej [43]

Answer:

y = − x + 4

Step-by-step explanation:

Use the slope formula and slope-intercept form  y = m x + b  to find the equation.

3 0
3 years ago
What is the volume of the cone with diameter 7in and height 9in? Round to the nearest cubic inch
dezoksy [38]
Diameter = 7 cm
radius = 7÷2 = 3.5
Volume of cone = 1/3 \pi  r^{2} h
Volume of cone = 1/3 \pi 3.5^{2} (9) = 115 cubic inches (Answer B)
8 0
3 years ago
Read 2 more answers
Please help! Explain how to solve!
Gnesinka [82]
So this one is a little tricky because in order to solve you need to combine like terms. The only problem is that two fractions don't have the same denominator.
This is what you do.
2/3 - 1/9
= (2*9) - (1*3) / 3*9
= 18 - 3 / 27
= 15/ 27
Simplify.
5/9 + y = 7/9
Now since you need to isolate the variable you have to subtract 5/9 from both sides. Since the denominator is the same you can just subtract the numerator. 
So y = 2/9
I hope this helps love! :)
3 0
3 years ago
Cual es el resultado de 10x + 8 = 2 - 2x
castortr0y [4]

Answer:

x=-1/2

Step-by-step explanation:

Move -2x to the other side by adding 2x on both sides:

12x+8=2

Move 8 to the other side by subtracting  8 on both sides:

12x=-6

Divide by 12 on both sides:

x=-1/2

Hope this helps!

4 0
2 years ago
Read 2 more answers
Other questions:
  • P(x)-x15x-48x + 450, x è 3 is an approximation to the total profit (in thousands of dollars) from the sale of x hundred thousand
    11·1 answer
  • Which of these is NOT equivalent to 2^-3
    11·1 answer
  • Why are the people who delete questions such A H O L E S
    9·1 answer
  • What is the range of y=-3sin(x)?<br> -1Sys1<br> -35453<br> 0 - 1 = y = 1/3<br> DONE
    5·2 answers
  • What are the domain and range of the function represented by the set of ordered pairs? {(-7,1),(-3,2), (0, -2), (5,-5)}​
    8·1 answer
  • Perform the operation.<br> (4x^2 + 6x + 7) - (-8x^2 – 2x + 6)
    13·1 answer
  • Anthony borrowed $18,800 at 6% simple interest for 4 months. Determine the amount of interest.
    6·1 answer
  • Y=4x-2, y=x+3 the solution to the system of equation
    5·1 answer
  • Jason earns 5% commission as a salesperson. He sold a lawn mower that cost $90. How
    6·1 answer
  • 4. (4)5 =<br> a. 12<br> b. 13<br> c. 14<br> d. 15
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!