Question

what is the approximate radius of a sphere with a volume of 1436cm to power of 3

Answer 1

Answer:

The radius is 7 cm

Step-by-step explanation:

Volume of a sphere is given by

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

where r is the radius

From the question V = 1436 cm³

$1436 = \frac{4}{3} \pi {r}^{3}$

Multiply through by 3

We have

$4308 = 4\pi {r}^{3}$

Divide both sides by 4π

${r}^{3} = \frac{4308}{4\pi}$

${r}^{ 3} = \frac{1077}{\pi}$

Find the cube root of both sides

$r = \sqrt[3]{ \frac{1077}{\pi} }$

r = 6.99

We have the final answer as

r = 7cm

Hope this helps