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jeka57 [31]
2 years ago
8

The following cone has a height of 12 cm and a slant height of 13 cm. A right angle is formed between the height and radius of t

he cone
What is the length of the radius?

Enter your answer as the correct value, rounded to the nearest tenth, if necessary, like this: 42.5
Mathematics
2 answers:
Pachacha [2.7K]2 years ago
4 0

Length of the radius of the cone is equals to 5 cm.

<h3>What is right circular cone?</h3>

" A right circular cone is the 3 dimensional solid shape, which has an axis that is perpendicular to its circular base."

Formula used

Pythagoras theorem

(Hypotenuse)² = (adjacent side)² + (opposite side)²

According to the question,

Slant height 'l' of the cone = 13cm

height 'h'  of the cone = 12cm

Let 'r' be the radius of the base of the cone.

As per the diagram,

InΔABC,

Apply Pythagoras theorem, we get

(l)² = (h)² +(r)²

Substitute the values of 'l' and 'h' in the formula we get,

  (13)² =(12)² + (r)²

⇒ (r)² = 169 - 144

⇒ r =√25

⇒ r = 5cm

Hence, length of the radius of the cone is equals to 5 cm.

Learn more about right circular cone here

brainly.com/question/12478210

#SPJ2

Inessa05 [86]2 years ago
4 0

Answer:

The length of the radius is 5cm

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