What’s the exact surface area of each cylinder: 1) the diameter is 4in and the height is 7in

2) the radius is 10ft and the height is 13ft

3) the radius is 6yd and the height is 12yd

9514 1404 393

Step-by-step explanation:

The formula for total surface area of a cylinder is ...

  total area = total base area + lateral area

  = 2(base area) + lateral area

  = 2(πr^2) +2πrh

  = 2πr(r +h)

This formula has been put into the attached spreadsheet so it can do the arithmetic. You will notice that we left out the factor of pi, because we want to use the symbol to represent its exact value. Note, too, that the radius is half the diameter.

The areas are ...

  1) 36π square inches

  2) 460π square feet

  3) 216π square yards

The answer to your question is letter B.

Step-by-step explanation:

Data

Center = (-10, 6)

radius = 8

Process

1.- To find the answer to your question just substitute the values in the standard form of the circle.

Equation

                    (x - h)² + (y - k)² = r²

h = -10

k = 6

r = 8

Substitution

                   (x + 10)² + (y - 6)² = 8²

Simplification

                   (x + 10)² + (y - 6)² = 64