Question

8cm width 15cm heihgt
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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(1 point)
Responses

5,888π cm2

5,888 pi cm squared

368π cm2

368 pi cm squared

1,472π cm2

1 comma 472 pi cm squared

23π cm2

23 pi cm squared
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Answer 1

Assuming "width" = radius = 8 cm and height = 15 cm:

Original SA = 2πrh + 2πr^2 = 2π(8)(15) + 2π(8^2) = 240π + 128π = 368π cm^2.

A dilation by factor 4 multiplies surface area by 4^2 = 16, so new SA = 368π × 16 = 5,888π cm^2.

Answer: 5,888π cm^2.