Answer:
a) Lateral surface area = 1225.2 m²
b) Total surface area = 1756.2 m²
Step-by-step explanation:
We are to find the Lateral and Total surface area of the cone in the diagram
Slant height = l = 30m
Diameter = 26 m
Radius = Diameter /2 = 26m/2 = 13m
a) The Lateral surface area of a cone when given the slant height is calculated as:
πr × l
= π × 13 × 30
= π × 13 × 43
= 1225.2211349 m²
Approximately = 1225.2 m²
b) The Total Surface area of the cone when given the slant height is calculated as:
πr( r + l)
= π × 13 × (13 + 30)
= π × 13 × 43
= 1756.1502934 m²
Approximately = 1756.2 m²