Question

what is the surface area of this cone? use π ≈ 3.14 and round your answer to the nearest hundredth. 8 cm 6 cm square centimeters submit

Explanation:

Step1: Find the radius of the base

The diameter of the base is 6 cm, so the radius \( r=\frac{6}{2}=3 \) cm.

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

The surface area of a cone is \( SA = \pi r (r + l) \), where \( r \) is the radius and \( l \) is the slant height. Here, \( r = 3 \) cm and \( l = 8 \) cm, and \( \pi\approx3.14 \).

Step3: Substitute the values into the formula

\( SA=3.14\times3\times(3 + 8) \)
First, calculate the sum inside the parentheses: \( 3 + 8 = 11 \)
Then, multiply: \( 3.14\times3\times11=3.14\times33 \)
\( 3.14\times33 = 103.62 \)

Answer:

103.62