Question

A bucket is in the shape of a frustum with top diameter 20cm and bottom diameter 12cm. If the height of the bucket is 8cm, calculate the volume of the bucket​

Answer 1

Answer: V≈1642 cm³.

Explanation:

D=20 cm d=12 cm h=8 cm V=?

`R=(D)/(2)=(20)/(2) =10 \ (cm).\\ r=(d)/(2)=(12)/(2)=6 \ (cm).\\ \boxed {V=(1)/(3) *\pi *h*(R^2+R*r+r^2)} \ \ \ \ \ \Rightarrow\\V=(1)/(3)*\pi *8*(10^2+10*6+6^2)\\V=(1)/(3)*\pi *8*(100+60+36)\\ V=(8)/(3) *\pi *196\\V=(8*196*\pi )/(3) \\V\approx1642\ cm^3.`