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1 answer:
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Answer:
2.5 ft
Step-by-step explanation:
As radius is perpendicular to tangent ,
LT KT
By pythagoras theorem:
LT² = LK² - KT²
LT² = (6.5)² - 6²
LT² = 42.25 - 36
LT² = 6.25
LT = 2.5 ft
LT = radius = 2.5 ft
Answer:
The Volume of large cone is 19.545 greater than the smaller cone
Step-by-step explanation:
Given:
Size of the small cone = 3.5 inches
Diameter of the small cone = 3 inches
Size of the large cone = 3.5 inches
Diameter of the small cone = 3 inches
To Find:
How much greater, to the nearest tenth of a cubic inch, is the volume of the larger cone than the volume of the smaller cone = ?
Solution:
Volume of the small cone :
Radius =
Radius =
Radius = 1.5 inches
volume of the cone =
substituting the values,
=>
=>
=> 16.485
Volume of the large cone :
Volume of the large cone :
Radius =
Radius =
Radius = 2.25 inches
volume of the cone =
substituting the values,
=>
=>
=>36.06
Now ,
volume of small cone - volume of large cone
=>36.06 - 16.485
=>19.545