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.
Answer:
360 radical 2 or 509.11688
Step-by-step explanation:
simplify the radicals
12 =2 radical 3
calculate the products
10* 2 radical 3 * 6 radical 6
= 120 radical 18
again simplify
360 radical 2
