Question

3 what is the surface area of a cylinder with a radius of 2 inches and a height of 12 inches? use 3.14 for π and round to the nearest whole number. 176 inches squared 151 inches squared 201 inches squared 327 inches squared skip 2/10 complete

Explanation:

Step1: Recall the formula for the surface area of a cylinder

The formula for the surface area \( S \) of a cylinder is \( S = 2\pi r^2 + 2\pi rh \), where \( r \) is the radius and \( h \) is the height.

Step2: Substitute the given values into the formula

Given \( r = 2 \) inches and \( h = 12 \) inches, and \( \pi = 3.14 \).
First, calculate the area of the two circular bases: \( 2\pi r^2 = 2\times3.14\times2^2 \)
\( 2\times3.14\times4 = 25.12 \)
Then, calculate the lateral (curved) surface area: \( 2\pi rh = 2\times3.14\times2\times12 \)
\( 2\times3.14\times24 = 150.72 \)

Step3: Add the two areas together to get the total surface area

\( S = 25.12 + 150.72 = 175.84 \)

Step4: Round to the nearest whole number

\( 175.84 \approx 176 \)

Answer:

176 inches squared