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# A right cylinder soda can has a height of 8 and a radius of 3 as pictu

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Math Expert
Joined: 02 Sep 2009
Posts: 51280
A right cylinder soda can has a height of 8 and a radius of 3 as pictu  [#permalink]

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16 Apr 2018, 04:46
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Difficulty:

15% (low)

Question Stats:

89% (01:00) correct 11% (00:59) wrong based on 46 sessions

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A right cylinder soda can has a height of 8 and a radius of 3 as pictured above. What is the total surface area of the cylinder?

A. 57π

B. 60π

C. 63π

D. 66π

E. 69π

Attachment:

Soda_Can.png [ 3.97 KiB | Viewed 752 times ]

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A right cylinder soda can has a height of 8 and a radius of 3 as pictu  [#permalink]

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16 Apr 2018, 05:44
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1
Top + bottom = 2*π*r^2 = 18 π
Side = 2*π*r*h= 48 π

Total = 48π+18π = 66π

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Re: A right cylinder soda can has a height of 8 and a radius of 3 as pictu  [#permalink]

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17 Apr 2018, 15:20
2
Bunuel wrote:

A right cylinder soda can has a height of 8 and a radius of 3 as pictured above. What is the total surface area of the cylinder?

A. 57π

B. 60π

C. 63π

D. 66π

E. 69π

Attachment:
Soda_Can.png

We can use the surface area formula:

Surface area = 2πr^2 + 2πrh

Surface area = 2π(3^2) + 2π(3)(8) = 18π + 48π = 66π

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Re: A right cylinder soda can has a height of 8 and a radius of 3 as pictu  [#permalink]

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20 Jul 2018, 10:46
[quote="Bunuel"]

A right cylinder soda can has a height of 8 and a radius of 3 as pictured above. What is the total surface area of the cylinder?

A. 57π

B. 60π

C. 63π

D. 66π

E. 69π

the total surface area of the cylinder?= Outer surface area including bases =(2 π r)*(r+ h)
2 π *3*(3+8) =66π

A cylinder is a 3-D object formed by rotating a rectangular sheet along one of its sides. It is characterized by the radius of the base, , and the height, . Important results include:
 Volume =  Outer surface area w/o bases =  Outer surface area including bases =
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Re: A right cylinder soda can has a height of 8 and a radius of 3 as pictu &nbs [#permalink] 20 Jul 2018, 10:46
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