Question

what is the surface area of this cone? round your answer to the nearest hundredth. 17 cm 22 cm square centimeters

Explanation:

Step1: Find the radius

The diameter is 22 cm, so the radius $r=\frac{22}{2}=11$ cm.

Step2: Recall the surface - area formula

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, $r = 11$ cm and $l=17$ cm.

Step3: Calculate the surface area

$A=\pi\times11\times(11 + 17)=\pi\times11\times28=308\pi\approx308\times3.14159 = 967.60972\approx967.61$ square centimeters.

Answer:

$967.61$