the highest of highest circular cone is 12cm and its volume is 100πcm³find the lenght of the radius of the once
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Step-by-step explanation:
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Step-by-step explanation:
Given:-
Height of a right circular cone,h = 12 cm
Volume of circular cone , V = 100 πcm^2
To find out:-
Find the slant height (l).
Solution:-
We know that,
Volume of cone = 1/3 x π ×r^2xh
= 100m = 1/3 x π x r^2 x 12
= 100m = 12/3 × π × r^2
= 100m = 4 πx r^2
= r^2=100π/4π
= r^2=25
= r=√25
= r=5cm
Now,
By using Pythagoras therome:
l^2=r^2+h^2
= l^2=(5)^2+(12)^2
= l^2=25+144
= l^2=169
=> |=√169
= l=13cm
Hence,the slant height of a right circular cone is 13 cm.
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