Answer:
The surface area of the sphere is 576π u²
Option D.
Step-by-step explanation:
First of all we need to calculate the radius
To calculate the radius of a sphere we have to use the following formula:
V = volume = 2304π u³
r = radius
π = pi
V = ⁴⁄₃πr³
we replace with the known values
2304π u³ = ⁴⁄₃ * π * (r)³
2304π u³ / (⁴⁄₃ * π) = (r)³
1728 u³ = (r)³
1728 u³ = (r)³
³
√(
1728 u³) = r
12 u = r
The radius of the sphere is 12 u
Now we can find the surface area
To calculate the area of a sphere we have to use the following formula:
A = area
r = radius = 12 u
π = pi
A = 4πr²
we replace with the known values
A = 4 * π * (12 u)²
A = 4 * π * 144 u²
A = 576π u²
The surface area of the sphere is 576π u²
Answer:
{-2,-1,0,1,2}
Step-by-step explanation:
When we are talking of the range, we are referring to the possible y-values the relation can take
Hence, a set of y-values will represent the range of the relation
we have this as:
{2, 1 , 0, -1 , -2}
Arranging in order, we have ;
{-2,-1,0,1,2}
x-y=4 2x+3y=10 find: 3x+2y
FIrst you need to figure out what either x or y equals with one of the equations. It doesn't matter which, because they are dependent on eachother and will both give the same number at the end.
I chose to go with the first equation, because it was simplier, which makes it easier to find the first variable. Again you can solve for either x or y first, I chose x
x-y=4
becomes
x=4+y
now we can plug this x value into the second equation of 2x+3y=10 to find
2(4+y)+3y=10
8+2y+3y=10
8+5y=10
solving for y
5y=2
y=2/5
Now we can plug this y value into the first equation to get an actual value of x
x-(2/5)=4
x=4+2/5
x=22/5
since we now have both x and y values, x=22/5 y=2/5, we can plug them into the 3rd equation to find what it equals
3(x)+2(y)=??
3(22/5)+2(2/5)=??
66/5+4/5=??
70/5=14