Answer:
The diameter is 8 inches
Step-by-step explanation:
This problem bothers on mensuration of solid shapes, this in particular a cylindrical
Given data
Volume of cylinder in inches v=301.44in^3
Height of the bucket h= 6 inches
Radius r=?
To solve for the diameter we neeed to solve for the radius and multiply It by 2 to get the diameter
We know that the volume of a cylinder is given as
v= πr^2h
301.44= 3.142*r^2*6
301.44= 18.85*r^2
r^2= 301.44/18.85
r^2= 15.99
r=√15.99
r=3.998in
We know that the
diameter d =2r
Therefore d= 3.99*2
d= 7.997in
≈ d = 8 inches
