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40 votes
40 votes
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 Slaviboy
by
3.0k points

2 Answers

15 votes
15 votes

Answer:

90 pi

Explanation:

Just in case the other answer was confusing. Just put it in, and it marked it right. 90 is the answer

SA= 90

User Ffhaddad
by
2.8k points
19 votes
19 votes

Answer:

90pi

Explanation:

SA = pi r l +B

we know the radius is 5

We need to find the slant height using the Pythagorean theorem

a^2+b^2 = c^2

5^2+12^2 = l^2

25+144= l^2

169 = l^2

Taking the square root of each side

sqrt(169) = sqrt(l^2)

13 = l

B is the area of the base

B = pi r^2 = pi (5)^2 = 25 pi

SA = pi r l +B = pi (5)*13 + 25pi

=65pi +25pi = 90pi

User Konrados
by
3.0k points