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What are the lateral area and the surface area of the cone shown below? Round the answers to
the nearest tenth. The figure is not drawn to scale.

What Are The Lateral Area And The Surface Area Of The Cone Shown Below Round The Answers To The Nearest Tenth The Figure Is Not Drawn To Scale class=

Sagot :

abidemiokin

Answer:

lateral surface area of the cone = 829.0ft²

Hence the total surface area is 1,208.9ft²

Step-by-step explanation:

lateral surface area of the cone = πrl

l is the slant side = 24ft

r is the radius = 11ft

lateral surface area of the cone = π(11)(24)

lateral surface area of the cone = 3.14 * 264

lateral surface area of the cone = 828.96ft²

lateral surface area of the cone = 829.0ft²

Total surface area = πr(r+l)

r is the radius = 11ft

l is the slant side = 24ft

Total surface area = π(11)(11+24)

Total surface area = π(11)(35)

Total surface area = 3.14 * 385

Total surface area = 1,208.9ft²

Hence the total surface area is 1,208.9ft²

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