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10 October, 22:06

both the diameter and height of a cylindrical vase are 2.5 times greater than a similar vase. the surface area of the smaller vase is 2826 square centimeters. whats is the surface area of the larger vase?

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  1. 10 October, 22:17
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    17662.5 cm2

    Step-by-step explanation:

    The surface area of a cylinder is given by the following formula:

    Surface area = (pi*d^2) / 4 + pi*d*h

    Where d is the base diameter and h is the height.

    Is the diameter and the height are 2.5 times greater, we have that the new surface area is:

    New area = pi * (2.5d) ^2/4 + pi*2.5d*2.5h = 6.25*pi*d^2/4 + 6.25*pi*d*h = 6.25 * (Surface area)

    So the larger vase have a area of 6.25 * 2826 = 17662.5 cm2
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