Nellie has a right cylindrical object with a top and a bottom. The object, with dimensions in inches (in.), is shown.
7 in.
-15 in.
D
The formula SA = 2πrh+ 2rr² can be used to find the surface area of a right cylinder.
Nellie paints the surface of the object.
What is the approximate surface area that Nellie paints, rounded to the nearest tenth of a square inch?

Nellie has a right cylindrical object with a top and a bottom The object with dimensions in inches in is shown 7 in 15 in D The formula SA 2πrh 2rr can be used class=

Respuesta :

Answer:

406

in^2

Step-by-step explanation:

The surface area of a cylinder is 2πrh + 2πr^2, where r is the radius and h is the height.

The height of this cylinder is 15, and the radius is half of the diameter (which is shown), so 7/2 = 3.5.

Now we input these values in the equation:

2π*3.5*15 + 2π*3.5^2 = 105π + 24.5π = 129.5π

129.5π = 406.836

Rounded to the nearest square inch is 406.8