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calculate the cylinder 4

cylinder problem 4:


A cylinder has a radius of 7 cm and an height of 17 cm.

a) calculate the lateral area

b) calculate the surface area

c) calculate the volume

answer: 


answer lateral area:

LA = 2 * r * π * h
 
LA = 2 * 7 * π * 17
 
LA = 747.69 cm²
 
A: The lateral area is 747.69 cm².
 

answer surface area:

A = 2 * r * π * (r + h)

A = 2 * 7 * π * (7 + 17)

A = 1055.58 cm²

A: The surface area is 1055.58 cm².

 

answer volume:

V = r² * π  * h 

V = 7² * π * 17    (π = 3.1415..)

V = 2 616.95 cm³

A: The volume is 2 616.95 cm³.