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Until 2014, the mass of a kilogram was defined as exactly equal to the mass of a special
platinum-iridium cylinder kept in Sèvres, France. The cylinder's diameter and height are
both 39.2 millimeters.
What is the surface area of this cylinder?

Respuesta :

Answer:

surface area: 7241.25

Step-by-step explanation:

using this formula for surface area of cyclinder: 2πrh+2π[tex]r^2[/tex]

diameter = 2r --> 39.2 = 2r

so r= 19.6

Answer:

7241.25 mm squared

Step-by-step explanation:

The surface area of a cylinder is denoted by: [tex]A=2\pi r^2+2\pi rh[/tex], where r is the radius and h is the height.

Here, we know that the diameter is 39.2 mm, and since diameter is twice the radius, then r = d/2 = 39.2/2 = 19.6 mm. We also know that the height is 39.2 mm, so plug these values in:

[tex]A=2\pi r^2+2\pi rh[/tex]

[tex]A=2\pi (19.6)^2+2\pi *19.6*39.2=7241.25[/tex] mm squared

The answer is about 7241.25 mm squared.