Answer:
The volume of the bucket is 122.52 cm³.
Step-by-step explanation:
Given : A frustum is a cone with the end chop off a bucket in the shape of a frustum has diameters of 10 cm and 4 cm at its ends and a depth of 3 cm.
To find : Calculate the volume of this bucket ?
Solution :
The diameters of frustum is
D=10 cm ⇒ R= 5 cm
d=4 cm ⇒ r= 2 cm
The height is h=3 cm
The volume of the frustum is given by,
[tex]V=\frac{1}{3}\pi[R^{2} +r^{2} +Rr]h[/tex]
Substitute the value in the formula,
[tex]V=\frac{1}{3}\pi[5^{2} +2^{2} +(5)(2)]3[/tex]
[tex]V=\frac{1}{3}\pi[25+4+10]3[/tex]
[tex]V=\frac{1}{3}\pi[39]3[/tex]
[tex]V=39\pi[/tex]
[tex]V=122.52[/tex]
Therefore, the volume of the bucket is 122.52 cm³.
