Question

Erik would prefer his jolly rancher to fit in a tube. He has a mold that is 6 cm in diameter and very long. If he used as much goo as miki (162cm^2), what will be the height of his tube?

Answer 1

Concept

Given data

diameter = 6

radius = 3

`\begin{gathered} \text{Area = 162} \\ \pi\text{ = 3.14} \end{gathered}`
`\text{Area = 2}\pi r^2\text{ + 2}\pi rh`
`\begin{gathered} \text{Area = 2 x 3.14 x 4 + 2 x 3.14 x 3 x h} \\ 162\text{ = 25.12 + 18.84h} \\ 18.84h\text{ = }162\text{ - 25.12} \\ 18.84h\text{ }=\text{ 136.88} \\ h\text{ = }(136.88)/(18.84) \\ h\text{ = 7.2}65\text{ m} \end{gathered}`

Final answer