Question

what is the surface area of this cone? round your answer to the nearest hundredth. 2.7 yd 2.2 yd square yards submit

Explanation:

Step1: Find the radius

The diameter is 2.2 yd, so the radius $r=\frac{2.2}{2}=1.1$ yd.

Step2: Recall the surface - area formula

The surface area of a cone $A = \pi r(r + l)$, where $l$ is the slant height. Here $l = 2.7$ yd and $r=1.1$ yd.

Step3: Calculate the surface area

$A=\pi\times1.1\times(1.1 + 2.7)=\pi\times1.1\times3.8=4.18\pi$.
Using $\pi\approx3.14159$, we have $A\approx4.18\times3.14159\approx13.13$.

Answer:

$13.13$