Question

a cone has a slant height of 10 inches and a diameter of 12 inches. what is the surface area of the cone? 264π in² 264 in² 96π in² 96 in²

Explanation:

Step1: Find the radius

The diameter $d = 12$ inches, so the radius $r=\frac{d}{2}=\frac{12}{2}=6$ inches.

Step2: Recall the formula for surface area of a cone

The surface - area formula of a cone is $A=\pi r(r + l)$, where $r$ is the radius and $l$ is the slant height. Here, $r = 6$ inches and $l=10$ inches.

Step3: Substitute the values into the formula

$A=\pi\times6\times(6 + 10)=\pi\times6\times16=96\pi$ square inches.

Answer:

C. $96\pi$ in²