Answer:
d =1.501060821 in
Explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
The volume is 1.77 in^3
1.77 = 4/3 (3.14) r^3
1.77 = 4.1866666 r^3
Divide each side by 4.18666666
1.77/4.18666666 = r^3
.422770701 = r^3
Take the cube root of each side
(.422770701)^(1/3) = (r^3)^1/3
.75053041 = r
But we want to find the diameter. The diameter is twice the radius.
d= 2r
d = 2(.75053041)
d =1.501060821 in