Question

what is the surface area of this cone? round your answer to the nearest hundredth. 14.8 ft 4 ft square feet

Explanation:

Step1: Recall 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, $r = 4$ ft and $l=14.8$ ft.

Step2: Substitute values into formula

$A=\pi\times4\times(4 + 14.8)$.
First, calculate the sum inside the parentheses: $4+14.8 = 18.8$. Then, $A=\pi\times4\times18.8=75.2\pi$.

Step3: Calculate the numerical value

Using $\pi\approx3.14159$, we have $A\approx75.2\times3.14159 = 236.247568$.

Step4: Round to the nearest hundredth

Rounding $236.247568$ to the nearest hundredth gives $A\approx236.25$.

Answer:

$236.25$