Question

what is the surface area of this cone? round your answer to the nearest hundredth. 18 yd 11.2 yd square yards

Explanation:

Step1: Recall surface - area formula

The surface - area formula of a cone is $S = \pi r(r + l)$, where $r$ is the radius and $l$ is the slant height. Here, $r = 11.2$ yd and $l=18$ yd.

Step2: Substitute values into formula

$S=\pi\times11.2\times(11.2 + 18)$.
First, calculate the sum inside the parentheses: $11.2+18 = 29.2$.
Then, $S=\pi\times11.2\times29.2$.
$S = 11.2\times29.2\times\pi$.
$11.2\times29.2=327.04$.
So, $S = 327.04\pi$.

Step3: Calculate the numerical value

Using $\pi\approx3.14159$, we have $S\approx327.04\times3.14159$.
$S\approx1027.53$ square yards.

Answer:

$1027.53$