MATHEMATICS MIDDLE SCHOOL

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 - 1

Answers

Answer 1
Answer:

Answer:

90π cm²

Step-by-step explanation:

Given: Radius of circular base= 5 cm

           height= 12 cm

   

Now finding the surface of cone.

Formula; Surface area of cone= \pi rl+ B

Where; r= radius

l= slant height

B is the area of base, which is circle.

Area of circle (B)= πr²

Area of circle (B)= \pi * 5^(2) = 25\pi

∴ Area of circle (B)= 25\pi

Finding slant height (l)

Formula; l= \sqrt{r^(2)+h^(2)  }

⇒l = \sqrt{5^(2)+12^(2)  } = √(25+144 )

∴ l= √(169) = 13\ cm

Next, using the formula for finding surface area of cone.

Surface area of cone= 5* 13* \pi + 25\pi

⇒ Surface area of cone= 65\pi +25\pi = 90\pi

∴ Surface area of cone= 90π cm²
Answer 2
Answer:

Answer:

S.A. = 90 pi cm2

Step-by-step explanation:

1. pi(3.14) x radius(5) x slant height(13) = 90

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