Answer: The height of the cylinder is 24 units.
Step-by-step-explanation: The volume of a cylinder is calculated as
Volume = Pi x r^2 x h
Where r is the radius, and h is the height. The radius shall be derived as half of the diameter, that is, half of 14 units which equals 7 units. The volume has been given as 1176 Pi cubic units. We can now substitute for the values given as follows;
1176 Pi = Pi x 7^2 x h
1176 Pi = Pi x 49 x h
By cross multiplication we now have
(1176 Pi)/49 Pi = h
1176/49 = h
24 = h
Therefore the height of the cylinder is 24 units.
(1) C and (2) D
(1)
distribute the left side of the equation
2h - 16 - h = h - 16 ( simplify left side )
h - 16 = h - 16
Since both sides are equal, any value of h will make the equation true.
Hence there are infinitely many solutions to the equation → C
(2)
3 + 6z = 13 + 6z ( subtract 6z from both sides )
3 = 13 ← not possible
Hence there are no solutions to the equation → D
Answer:
No solution
Step-by-step explanation:
24a-22= -4(1-6a)
24a-22= -4+24a
-24a -24a
0-22= -4
-22= -4
