Question

What is the approximate diameter of a sphere with a volume of 34 cm

Answer 1

The diameter is 4cm

Explanation:

Volume of a sphere is

`V = (4)/(3) \pi {r}^(3)`

Where r is the radius

diameter = radius × 2

To find the diameter we must first find the radius

Volume = 34cm³

That's

`34 = (4)/(3) \pi {r}^(3) \\ \\ 34 * 3 = 4\pi {r}^(3) \\ \\ 102 = 4\pi {r}^(3) \\ {r}^(3) = (102)/(4) \pi \\ \\ r = \sqrt[3]{ (51)/(2\pi)} \\ \\ r = 2.01 \\ \\ r = 2.0 cm`

Diameter = 2 × 2cm

= 4cm

Hope this helps you