Two similar cylinders are shown in the image below. If the smaller cylinder has a lateral area of approximately 302 square meters, what is the approximate lateral area of the larger cylinder? Answer 1,618.5 square meters 924.9 square meters 528.5 square meters 98.6 square meters
Use the lateral surface area and the height to figure out the radius of the larger cylinder. Lateral surface area = Pi*radius^2 * height Plug in for lateral surface area and height, then solve for the radius. Now, you can use the fact that the cylinders are similar to find the radius of the smaller cylinder. After that, it's easy to calculate the surface area of the small cylinder =)
Small Radius = Large radius * [(small height)/(large height)]
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