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The circumference of the base of a cone is 24 inches. The slant height of the cone is 20 inches.

What is the surface area of the cone? Express the answer in terms of .

240 square inches
384 square inches
480 square inches
624 square inches


Sagot :

The surface area of a cone with circumference base of 24π inches and slant height of 20 inches is 384π inches² in terms of π.

Surface area of a cone

surface area = πr(r + l)

where

  • r = radius
  • l = slant height

Therefore,

l = 20 inches

24π = 2πr

r = 12

Therefore,

surface area  = π(12)(12 + 20)

surface area = 12π(12 + 20)

surface area = 12π × 32

surface area = 384π inches²

learn more on surface area here: https://brainly.com/question/2847956

Answer:

B)  384 π square inches

Step-by-step explanation:

E2020