Question

The volume of a sphere is 2145 cubic centimeters. What is the approximate diameter of this sphere?

Answer 1

Answer:

d = 2(40.11 cm) = 80.22 cm

Step-by-step 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