Answer:
d = 2(40.11 cm) = 80.22 cm
Explanation:
The formula for volume of a sphere is V = (4/3)πr³
and here V = (4/3)πr³ = 2145 cm³
Let's simplify this equation by multiplying both sides by (3/4); this will cause (4/3) to disappear:
(3/4)(4/3)πr³ = (3/4)2145 cm³, or
r³ = 1608.75 cm³
Taking the cube root of both sides, we get:
r = 40.11 cm
Remembering that diameter = 2 times radius, we calculate the diameter:
d = 2(40.11 cm) = 80.22 cm