Question

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

Answer 1

Answer:

The diameter is 4cm

Step-by-step explanation:

Volume of a sphere is

$V = \frac{4}{3} \pi {r}^{3}$

Where r is the radius

diameter = radius × 2

To find the diameter we must first find the radius

Volume = 34cm³

That's

$34 = \frac{4}{3} \pi {r}^{3} \\ \\ 34 \times 3 = 4\pi {r}^{3} \\ \\ 102 = 4\pi {r}^{3} \\ {r}^{3} = \frac{102}{4} \pi \\ \\ r = \sqrt[3]{ \frac{51}{2\pi}} \\ \\ r = 2.01 \\ \\ r = 2.0 cm$

Diameter = 2 × 2cm

= 4cm

Hope this helps you