Respuesta :

Answer:

first blank: B 25

second blank: C 50

third blank: D 75

Step-by-step explanation:

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The base area of the cone is 78.5 cm².

The lateral area of the cone is 175.53 cm².

The surface area of the cone is 254.03 cm².

Base area of a cone

  • base area = πr²

where

r = radius = 5 cm

Therefore,

base area = 3.14 × 5² = 78.5 cm²

Lateral area of a cone

  • lateral area = πrl

where

r = radius

l = length

l² = 10² + 5²

l = √100 + 25

l = √125

l = 11.1803398875

l = 11.18 cm

Therefore,

lateral area = 3.14 × 5 × 11.18

lateral area =  = 175.531336234

lateral area = 175.53 cm²

Surface area of a cone

  • surface area = πr(r + l)

surface area = 3.14 × 5 (5 + 11.18)

surface area = 15.7 × 16.18

surface area = 254.026

surface area = 254.03 cm²

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