Question

If a metallic sphere having volume 45m cubic cm is melted to form a cylinder of height 5 cm, then find the adius of the cylinder.​

Answer 1

The radius is 3 cm

Explanation:

`45 \pi =\pi \: r^(2) * 5`

`45 * (22)/(7) = (22)/(7) * r^(2) * 5`

`(990)/(7) =(110)/(5) * r^(2)`

`141.43 = 22 * {r}^(2)`

`22 {r}^(2) = 141.43`

`{r}^(2) = 6.43`

`r = √(6.43)`

`r = 2.54`

`r = 3`

Answer 2

3 cm

Explanation:

V = 45π cm³

For a cylinder:

V = πr²h

πr²(5 cm) = 45π cm³

r² = 9 cm²

r = 3 cm