# Gravel - cone

Mound of gravel has shape of regular circular cone with a height 3.3 meter and a base circumference of 18.85 meters. How many cubic meters of gravel are in the pile? Calculate the weight of gravel if its density is p = 640 kg / cubic m.

Result

V =  31.103 m3
m =  19905.92 kg

#### Solution:

$h=3.3 \ \\ o=18.85 \ \\ r=o/2/\pi=18.85/2/3.1416 \doteq 3.0001 \ \\ S=\pi \cdot \ r^2=3.1416 \cdot \ 3.0001^2 \doteq 28.2757 \ \\ V=S \cdot \ h/3=28.2757 \cdot \ 3.3/3 \doteq 31.1032 \doteq 31.103 \ \text{m}^3$
$q=640 \ \\ m=q \cdot \ V=640 \cdot \ 31.1032=19905.92 \ \text{kg}$

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