Find the height of the cone whose volume is 480 π cm 3 and base radius is 12 cm.
Answers
Answered by
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Step-by-step explanation:
volume=πr²h
480=22/7*12*12*h
480*7/22*12*12=h
1.06=h
height is 1.06
Answered by
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The height of the cone is 10 cm
Given:
The volume of the cone = 480π cm³
The radius of the base = 12 cm
To find:
Find the height of the cone
Solution:
Formula used:
The volume of a cone V = (1/3)πr²h,
Where V is the volume,
r is the radius of the base,
h is the height.
From the data,
Radius r = 12 cm
Volume V = 480 π cm³
Using the formula, V = (1/3)πr²h
=> 480 π = 1/3 π (12)² h
=> 480 (3) = 144 (h)
=> h = 480(3)/144
=> h = 10
Therefore,
The height of the cone is 10 cm
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