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
2 answers:
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.
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Answer:
2.48×10^13 miles
Step-by-step explanation:
There are about (365.25 days)(86400 seconds/day) = 31,557,600 seconds in one year. There are 1609.344 meters in one mile. So, the conversion can be written as ...
(4.22 ly) (3×10^8 m/s) (3.15576×10^7 s/yr) / (1.609344×10^3 m/mi)
= 4.22×3×3.15576/1.609344×10^(8+7-3) mi
≈ 24.8×10^12 mi
4.22 light years is about 2.48×10^13 miles
