Question

what is the surface area of this cone? round your answer to the nearest hundredth. 16 in 5 in square inches submit

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.

Step2: Identify values

Given $r = 5$ in and $l=16$ in.

Step3: Substitute values into formula

$S=\pi\times5\times(5 + 16)$.
First, calculate the sum inside the parentheses: $5+16 = 21$.
Then, $S = 5\pi\times21=105\pi$.

Step4: Calculate the numerical value

Using $\pi\approx3.14159$, we have $S\approx105\times3.14159 = 329.86695$.

Step5: Round to the nearest hundredth

Rounding $329.86695$ to the nearest hundredth gives $329.87$.

Answer:

$329.87$