Question

What is the approximate radius of a sphere with a volume of 34 cm3?​

Answer 1

Answer:

2.01 cm

Step-by-step explanation:

The formula of a volume of a sphere:

$V=\dfrac{4}{3}\pi R^3$

R - radius

We have

$V=34\ cm^3$

Substitute:

$\dfrac{4}{3}\pi R^3=34$    multiply both sides by 3

$3\!\!\!\!\diagup^1\cdot\dfrac{4}{3\!\!\!\!\diagup_1}\pi R^3=(3)(34)$

$4\pi R^3=102$         divide both sides by 4

$\dfrac{4\pi R^3}{4}=\dfrac{102}{4}$

$\pi R^3=\dfrac{51}{2}$          divide both sides by π

$\dfrac{\pi R^3}{\pi}=\dfrac{\frac{51}{2}}{\pi}$

$R^3=\dfrac{51}{2\pi}$   use π ≈ 3.14

$\R^3\approx\dfrac{51}{(2)(3.14)}$

$R^3\approx\dfrac{51}{6.28}\\\\R^3\approx8.121\to R\approx\sqrt[3]{8.121}\\\\R\approx2.01\ cm$