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Find the total surface area of the following cone. Leave your answer in terms of pi.

Find the total surface area of the following cone. Leave your answer in terms of pi-example-1
User DaraJ
by
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1 Answer

6 votes

Answer:

12π cm^2.

Explanation:

First work out the slant height using Pythagoras:

l^2 = (2√3)^2 + 2^2

l^2 = 12 + 4 = 16

l = 4 cm.

Area of the base = πr^2 = π 2^2

Total surface area = π* 2* 4 + π(2)^2

= 8 π + 4 π

= 12π cm^2.

User Thesis
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