Question

find the surface area of the cone. leave your answer in terms of π. 24 mm 14 mm 585π mm² 532π mm² 224π mm² 217π mm²

Explanation:

Step1: Identify radius and slant - height

The radius $r = 7$ mm (since diameter is 14 mm, $r=\frac{14}{2}$) and slant - height $l = 24$ mm.

Step2: Recall surface - area formula

The surface area of a cone $A=\pi r(r + l)$.

Step3: Substitute values

$A=\pi\times7\times(7 + 24)$.

Step4: Simplify the expression

$A=\pi\times7\times31=217\pi$ $mm^{2}$.

Answer:

$217\pi$ $mm^{2}$