azocher26
Answered

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A right circular cylinder has a surface area of 66π. If the height of the cylinder is 8, find the diameter of the base.

A Right Circular Cylinder Has A Surface Area Of 66π If The Height Of The Cylinder Is 8 Find The Diameter Of The Base class=

Sagot :

devishri1977

Answer:

6

Step-by-step explanation:

h = 8

Surface area = 66π

2πr(r +h) = 66π

2πr(r + 8) = 66π

[tex]r(r + 8) =\dfrac{66\pi }{2\pi }[/tex]

r² + 8r = 33

r² + 8r - 33 = 0

r² + 11r - 3r - 33 = 0

r(r + 11) - 3(r + 11) = 0

(r +11 ) (r - 3) = 0

r - 3 = 0             {Ignore r = -11 as radius will not have negative value}

r = 3

Diameter = 3*2 = 6 units

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