A soup can that is a cylinder has a radius of 2x-1 and a height of 3x. What is the surface area of the soup can?

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asked Dec 14, 2018 134k views

1 Answer

Demosthenes · Answer 1 · 2018-12-21T09:03:24+0000

SA = ?
r = 2x - 1
h = 3x

Then,

SA = 2π(2x - 1)² + 2π(2x - 1)(3x)
==> 2π(4x² - 4x + 1) + 6πx(2x - 1)
==> 8πx² - 8πx + 2π + 12πx² - 6πx
==> 20πx² - 14πx + 2π units²

A soup can that is a cylinder has a radius of 2x-1 and a height of 3x. What is the surface area of the soup can?

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