Question

what is the surface area of this cone? round your answer to the nearest hundredth. 5 in 2 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

Given $r = 2$ in and $l = 5$ in.

Step3: Substitute values into formula

$S=\pi\times2\times(2 + 5)=2\pi\times7 = 14\pi$.

Step4: Calculate and round

$S\approx14\times3.14159 = 43.98226\approx43.98$ square inches.

Answer:

$43.98$