Question

A cylindrical soup can is 6 cm in diameter and 12 cm tall.

A. If the diameter is 6 cm, what is the radius?

B. We use the formula to find the surface area of a cylinder (with r = radius & h = height).

C. Plug your "r", "h", and " 3.14 for n" into the formula.

Show your work and label your final answer to find the surface area of the soup can.

Please only help me if your going to help

Answer 1

A. If the diameter is 6 cm, then the radius is half of that:

radius = 6 cm / 2 = 3 cm

B. The formula for the surface area of a cylinder is:

S.A. = 2πr^2 + 2πrh

C. Plugging in the values for r, h, and π:

S.A. = 2π(3 cm)^2 + 2π(3 cm)(12 cm)

S.A. = 2π(9 cm^2) + 2π(36 cm^2)

S.A. = 18π cm^2 + 72π cm^2

S.A. = 90π cm^2

Therefore, the surface area of the soup can is 90π square centimeters. This can be simplified to approximately 282.74 square centimeters by using the value 3.14 for π.