If the smaller cylinder has a lateral area of approximately 302 square meters, what is the approximate lateral area of the larger cylinder?
A) 1,618.5 square meters
B) 528.5 square meters
C) 924.9 square meters
D) 98.6 square meters

Question

If the smaller cylinder has a lateral area of approximately 302 square meters, what is the approximate lateral area of the larger cylinder? 
A) 1,618.5 square meters 
B) 528.5 square meters 
C) 924.9 square meters 
D) 98.6 square meters

anonymous · Answer

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anonymous · Answer

Lateral Area= (2pi)x(radius)x(height) shorten this to LA = 2*pi*r*h You are given LA and h for the small cylinder. small cylinder LA = 302 m^2 small cylinder h = 16m Substitute those values into the formula and solve for r: LA = 2*pi*r*h 302 = 2*pi*r*16 302 = 32*pi*r (I multiplied 2 x 16 = 32) 302 / (32*pi) = r ( I divided both sides by 32*pi) 3.00404955 = r ( I entered 302 divided by (32 *pi) into a calculator, or even google!) So r = 3.00404955 Now we can solve for the LA of the large cylinder.