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jeyben [28]
3 years ago
9

What is the lateral area of a right cylinder if the radius of the base is 12 mm and the altitude of the cylinder is 5 times the

base radius? Round your answer to the nearest whole number.
A. 2715 mm2
B. 905 mm2
C. 3167 mm2
D. 4524 mm2
Mathematics
1 answer:
lakkis [162]3 years ago
5 0
The lateral area of a cylinder is given by:
Area=πrl+2πr^2
radius,r=12 mm
length,l=5*12=60mm
therefore the lateral area will be:
Area=π*12*60
Area=2,261.95 mm^2
The area of the bases will be:
A=2*π*12^2=904.78 mm^s
The lateral area will be:
2,261.95+904.78
=3,166.73
=3167 mm^2
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<em>Answer: h = 120 ft;    w = 80 ft </em>

<em></em>

<em>A = 9600 ft^2</em>

<em />

<em>Step-by-step explanation: Let h and w be the dimensions of the playground. The area is given by:</em>

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<em>The total amount of fence used is:</em>

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<em>We derive this and equal zero to find its maximum:</em>

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<em>   Solving for h:</em>

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<em>h = 120 ft.  Replacing this into eq3:</em>

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<em>Therefore the maximum area is:</em>

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<em>A = 9600 ft^2</em>

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