Answer:
The lateral surface area of the cylinder would be 420 π (pi) [tex]units^{2}[/tex]
If the value of π (pi) is taken as 3.14 the exact lateral surface area of the cylinder would be 1318.8 [tex]units^{2}[/tex]
The total surface area of the cylinder would be 812 π (pi) [tex]units^{2}[/tex]
If the value of π (pi) is taken as 3.14 the exact total surface area of the cylinder would be 2549.68 [tex]units^{2}[/tex]
Step-by-step explanation:
The formula for lateral surface area of a cylinder is :
= 2 * pi (π) * radius (r) * height (h)
In this question, the radius (r) is given as 14 units and the height (h) is given as 15 units.
Therefore, the lateral surface area would can be calculated as follows :
= 2 * π * r * h
= 2 * π * 14 * 15
= 2 * π * 210
= 420 π [tex]units^{2}[/tex]
If the value of π (pi) is taken as 3.14 the exact lateral surface area of the cylinder would be:
= 420 * 3.14
= 1318.8 [tex]units^{2}[/tex]
Now, talking about the total surface area :
The formula for total surface area of a cylinder is :
= [2 * pi (π) * radius (r) * height (h)] + [2 * π * radius [tex](r)^{2}[/tex]]
In this question, the radius (r) is given as 14 units and the height (h) is given as 15 units.
Therefore, the total surface area of the cylinder can be calculated as follows :
= (2 * π * r * h) + (2 * π * [tex]r^{2}[/tex])
= (2 * π * 14 * 15) + (2 * π * [tex]14^{2}[/tex])
= (2 * π * 210) + (2 * π * 196)
= 420 π + 392 pi
= 812 π [tex]units^{2}[/tex]
If the value of π (pi) is taken as 3.14 the exact total surface area of the cylinder would be :
= 812* 3.14
= 2549.68 [tex]units^{2}[/tex]
