Answer :
Since the cone filled the entire hole, that must be the volume of the cylinder too.
V = pi * r^2 * h
42.87 = 3.14 * 6^2 * h
42.87 = 113.04h
Divide 113.04 to both sides:
h = 0.379246285
So the height is approximately 0.4 feet.
V = pi * r^2 * h
42.87 = 3.14 * 6^2 * h
42.87 = 113.04h
Divide 113.04 to both sides:
h = 0.379246285
So the height is approximately 0.4 feet.
so first find the volume of the cone
1/3 times height times area of base
area of bse=circle=pi times radius^2
pi aprox 3.141592
radius=3.2
3.141592 times 3.2^2=32.1699
1/3 times 4 times 32.1699=42.89
volume=42.89
volume of cylinder filled=area of base times height
area of base=circle
radius=6
3.141592 times 6^2=113.097
113.097 times h=42.89
divide both sdies by 113.097
height=0.379 ft or aprox 0.4 ft
1/3 times height times area of base
area of bse=circle=pi times radius^2
pi aprox 3.141592
radius=3.2
3.141592 times 3.2^2=32.1699
1/3 times 4 times 32.1699=42.89
volume=42.89
volume of cylinder filled=area of base times height
area of base=circle
radius=6
3.141592 times 6^2=113.097
113.097 times h=42.89
divide both sdies by 113.097
height=0.379 ft or aprox 0.4 ft