A cylinder of height 25cm is completely melted and a sphere of the same radius made. Determine the radius of the sphere in metres and express your answer in standard form. (3mk)​



Answer :

Answer:

[tex]radius=1.85×10^1 cm

Explanation:

volume of the cylinder = volume of the sphere

[tex]\pi {r}^{2}h = \frac{4}{3}\pi {r}^{3}[/tex]

Divide both side by

[tex] \pi{r}^{2} [/tex]

and multiple both sides by 3

3h = 4r

Divide both sides by 4

[tex]r = \frac{3}{4}h = \frac{3 \times 25}{4} = 18.75[/tex]

[tex]r adius= 1.85 \times {10}^{1}cm [/tex]