Question

what is the surface area of this cone? round your answer to the nearest hundredth. 10 in 5 in square inches

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

Here, $r = 5$ in and $l=10$ in.

Step3: Substitute values into formula

$S=\pi\times5\times(5 + 10)=\pi\times5\times15 = 75\pi$.

Step4: Calculate the value

$S\approx75\times3.14159 = 235.62$ (rounded to the nearest hundredth).

Answer:

$235.62$