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 the 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

Respuesta :

Answer:

The length of the radius is 5cm

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

What is right circular cone?

" 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.

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