Question

find the surface area of this cone. use 3.14 for π. 6 m 5 m surface area of a cone la = πrl sa = la + b sa = ? m² round your answer to the nearest tenth.

Explanation:

Step1: Calculate Lateral Area (LA)

The formula for lateral area of a cone is \( LA = \pi r \ell \). Here, \( r = 5 \) m, \( \ell = 6 \) m, and \( \pi = 3.14 \).
\( LA = 3.14 \times 5 \times 6 \)
\( LA = 3.14 \times 30 = 94.2 \) \( m^2 \)

Step2: Calculate Base Area (B)

The base of a cone is a circle, so \( B = \pi r^2 \).
\( B = 3.14 \times 5^2 = 3.14 \times 25 = 78.5 \) \( m^2 \)

Step3: Calculate Surface Area (SA)

Using \( SA = LA + B \).
\( SA = 94.2 + 78.5 = 172.7 \) \( m^2 \)

Answer:

172.7