Answer:
The volume of the sphere is 24416.6 cm³
Step-by-step explanation:
To calculate the volume of a sphere we have to use the following formula:
v = volume
r = radius
v = ⁴⁄₃πr³.
To solve this formula we first have to have all the data, as we see we need to calculate the radius, which is calculated by dividing the diameter by 2
r = d/2
r = 36cm/2
r = 18cm
Now that we have all the data we can solve the formula
v = ⁴⁄₃πr³.
v = ⁴⁄₃ * 3.14 * (18cm)³
v = 24416.64 cm³
Round to the nearest tenth
v = 24416.6 cm³
Can you give us a picture of the question or is it a word problem
X + k y = 1
k x + y = 1 / * ( - k )
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x + k y = 1
- k² x - k y = - k
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x - k² x = 1 - k
x ( 1 - k² ) = 1 - k
x = ( 1 - k ) / ( 1 - k² ) = ( 1 - k ) / ( 1 - k ) ( 1 + k )
y = 1 - k( 1 - k )/( 1 - k² )
y = ( 1 - k ) / ( 1 - k² ) = ( 1 - k ) / ( 1 - k ) ( 1 + k )
a ) For k = - 1 this system has no solution.
b ) For k ≠ - 1 and k ≠ 1, the system has unique solution:
( x , y ) = ( 1/ (1 + k) , 1/( 1 + k ) ).
c ) For k = 1, there are infinitely many solutions.
Cross multiply dude money over money and x over hours