Question

what is the surface area of this cone? round your answer to the nearest hundredth. 8.6 yd 5.2 yd square yards

Explanation:

Step1: Identify the radius and slant height

The diameter of the base is 5.2 yd, so the radius $r=\frac{5.2}{2}=2.6$ yd, and the slant height $l = 8.6$ yd.

Step2: Recall the formula for the surface area of a cone

The formula for the surface area of a cone $A=\pi r(r + l)$.

Step3: Substitute the values into the formula

$A=\pi\times2.6\times(2.6 + 8.6)=2.6\pi\times11.2$.

Step4: Calculate the value

$A=2.6\times11.2\times\pi=29.12\pi\approx29.12\times3.14159 = 91.4820908\approx91.48$ square yards.

Answer:

91.48