Question

what is the surface area of this cone? round your answer to the nearest hundredth. 16 cm 4 cm square centimeters

Explanation:

Step1: Recall surface - area formula

The surface - area formula of a cone is $S=\pi r(r + l)$, where $r$ is the radius of the base and $l$ is the slant height. Here, $r = 4$ cm and $l=16$ cm.

Step2: Substitute values into formula

$S=\pi\times4\times(4 + 16)$.
First, calculate the sum inside the parentheses: $4+16 = 20$. Then, $S=\pi\times4\times20=80\pi$.

Step3: Calculate the numerical value

Using $\pi\approx3.14159$, we have $S\approx80\times3.14159 = 251.33$.

Answer:

$251.33$