Question

Find the radius of a sphere with a volume of 589 cubic centimeters

Answer 1

volume of sphere =
`\pi`r³

if volume of this sphere = 589 cm³

then πr³ = 589 cm³
r³ =
`(589cm^(3) )/( \pi )`

∛r³ = ∛187.485 cm³

∴ r = 5.72 cm

Answer 2

Answer: The radius of a sphere is 5.20 cm.

Explanation:

Volume of sphere =
`(4)/(3)\pi r^3` , where r = radius of sphere.

Given : Volume of sphere : 589 cubic centimeters

As per formula , we have

`(4)/(3)\pi r^3=589 \\\\\Rightarrow\ r^3=(589*3)/(4\pi)=(441.75)/(\pi)=(441.75)/(3.14)\\\\\Rightarrow\ r^3=140.684713376\approx140.68\\\\\Rigghtarrow\ r=\sqrt[3]{140.68} \approx5.20`

Thus , the radius of a sphere is 5.20 cm.