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14 votes
14 votes
Find the total surface area of this cone.

Leave your answer in terms of .
15 cm
78 cm
SA = [ ? 17 cm?

Find the total surface area of this cone. Leave your answer in terms of . 15 cm 78 cm-example-1
User Titus Pullo
by
2.7k points

2 Answers

16 votes
16 votes

Answer:

in the right angle triangle,

p=15cm

b=8cm


image

User AmericanUmlaut
by
3.1k points
13 votes
13 votes

Answer:

SA = 200π cm²

Explanation:

The slant height l is the hypotenuse of the right triangle inside the cone

The triangle is an 8- 15- 17 ( Pythagorean triple ) with l = 17

Then

SA = πrl + πr²

=(π × 8 × 17) + (π × 8²)

= 136π + 64π

= 200π cm²

User Mark Lummus
by
2.9k points