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8. A megaphone is formed by taking a cone with radius of 18 centimeters and an edge length of 60 centimeters from tip to base
and cutting off the tip. The
cut is made 12 centimeters along the edge from the tip and is parallel to the base. The cut produces
a new radius of 4 centimeters. Round your answers to the nearest tenth.
Hint: A megaphone is hollow, so do not include the base.
a. What is the surface area of the whole cone?
b. What is the surface area of the tip that is removed?
카
cone
megaphone
whole cone
C.
What is the surface area of only the megaphone?

8 A Megaphone Is Formed By Taking A Cone With Radius Of 18 Centimeters And An Edge Length Of 60 Centimeters From Tip To Base And Cutting Off The Tip The Cut Is class=

Sagot :

The Surface area of the whole cone is 4408.56 cm²

The Surface area of the tips that is removed is  376.8 cm²

The Surface area of the megaphone(hollow) is  2712.96 cm²

What is surface area?

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape.

Therefore,

Surface area of the whole cone = πr² + πrl

Therefore,

Surface area of the whole cone = πr(r + l)

where

  • r = radius = 18 cm
  • l = edge length = 60 cm

Surface area of the whole cone = 3.14 × 18(18 + 60) = 4408.56 cm²

Surface area of the tips that is removed = 3.14 × 4 (18 + 12) = 376.8 cm²

Surface area of the megaphone(hollow) = πrl

Surface area of the megaphone(hollow) = 3.14 × 18 × (60 - 12) = 2712.96 cm²

learn more on surface area here: https://brainly.com/question/7410402

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