Question

a 0.460 - meter diameter concrete pillar is 4.200 meters high. compute the lateral area of the pillar. 6.07 m 1.4451 sq m 1.4451 m 6.07 sq m

Explanation:

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

The lateral (or curved) surface area \( A \) of a cylinder is given by the formula \( A = 2\pi rh \) or equivalently \( A=\pi dh \), where \( d \) is the diameter, \( r \) is the radius, and \( h \) is the height of the cylinder. Here, we know the diameter \( d = 0.460\space m \) and height \( h=4.200\space m \), so we can use \( A=\pi dh \).

Step2: Substitute the given values into the formula

Substitute \( d = 0.460\space m \), \( h = 4.200\space m \) and \( \pi\approx3.1416 \) into the formula \( A=\pi dh \).

$$
LATEXBLOCK0
$$

Answer:

\( 6.07\space sq\space m \) (the last option, assuming the typo in the option is a formatting error and it should be \( 6.07\space sq\space m \))