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Find he lateral and total surface area of each cone. Round to the nearest tenth

Find He Lateral And Total Surface Area Of Each Cone Round To The Nearest Tenth class=

Sagot :

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