Question

what is the surface area of this cone? round your answer to the nearest hundredth. 13 yd 18 yd square yards

Explanation:

Step1: Find the radius

The diameter is 18 yd, so the radius $r=\frac{18}{2}=9$ yd.

Step2: Recall the surface - area formula

The surface - area formula of a cone is $A = \pi r(r + l)$, where $l$ is the slant height. Here, $l = 13$ yd and $r = 9$ yd.

Step3: Substitute values into the formula

$A=\pi\times9\times(9 + 13)=\pi\times9\times22 = 198\pi$.

Step4: Calculate the value and round

$A\approx198\times3.14159=621.93482\approx621.93$ square yards.

Answer:

$621.93$