Question

what is the surface area of this cone? round your answer to the nearest hundredth. 10.7 m 7.5 m square meters submit

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, $r = 7.5$ m and $l=10.7$ m.

Step2: Substitute values into formula

$A=\pi\times7.5\times(7.5 + 10.7)$
$A=\pi\times7.5\times18.2$

Step3: Calculate the value

$A = 7.5\times18.2\times\pi$
$A=136.5\pi$
Using $\pi\approx3.14159$, we have $A\approx136.5\times3.14159$
$A\approx429.727035$

Step4: Round to nearest hundredth

Rounding $429.727035$ to the nearest hundredth gives $A\approx429.73$

Answer:

$429.73$