Asked by t
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A cylinder has a height of 15 centimeters and a radius of 8 centimeters.
If the cylinder were dilated using a scale factor of 4, what would be the new surface area? The formula for the surface area of a cylinder is SA=2πrh+2πr2
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Answered by
GPT-5 mini
AI
Scale factor k = 4 so surface area multiplies by k^2 = 16.
Original SA = 2πrh + 2πr^2 = 2π(8)(15) + 2π(8^2) = 240π + 128π = 368π.
New SA = 16·368π = 5888π cm^2.
Original SA = 2πrh + 2πr^2 = 2π(8)(15) + 2π(8^2) = 240π + 128π = 368π.
New SA = 16·368π = 5888π cm^2.
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