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If the number of square units in the surface area of a cylin
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07 Dec 2018, 15:02
07 Dec 2018, 15:02
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Question Stats:
47% (03:10) correct
52% (02:34) wrong based on 17 sessions
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If the number of square units in the surface area of a cylinder with a radius of 6 is 1/2 of the number of cubic units in the cylinder, what is the number of square units in the surface area?
A. \(128 \pi\)
B. \(192 \pi\)
C. \(216 \pi\)
D. \(324 \pi\)
E. \(432 \pi\)
A. \(128 \pi\)
B. \(192 \pi\)
C. \(216 \pi\)
D. \(324 \pi\)
E. \(432 \pi\)
Re: If the number of square units in the surface area of a cylin
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13 Apr 2020, 10:38
13 Apr 2020, 10:38
Expert Reply
number of square units of the cylinder is 2 times the circular area + the perimeter*height
the cubic units of the cylinder is the area of the circular region x height
the equation is
2 * (6^2)*pi + 12*pi*h = (1/2) * (6^2) * pi * h
72pi + 12pi*h = 18pi*h
h=12
the area of the cylinder is --> 2 * (6^2)*pi + 12*pi*h = 72pi + 144pi = 216pi
the cubic units of the cylinder is the area of the circular region x height
the equation is
2 * (6^2)*pi + 12*pi*h = (1/2) * (6^2) * pi * h
72pi + 12pi*h = 18pi*h
h=12
the area of the cylinder is --> 2 * (6^2)*pi + 12*pi*h = 72pi + 144pi = 216pi
Re: If the number of square units in the surface area of a cylin
[#permalink]
10 Mar 2023, 08:33
10 Mar 2023, 08:33
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