Question

Part B Find the height of a cylinder with a volume of 36 pie cm^3 and a base with a radius of 3 cm. h = ???cm

Answer 1

The formula for determining the volume of a cylinder is expressed as

`\begin{gathered} \text{Volume = pie }* radius^2* height \\ \end{gathered}`

We are given that

volume = 367

radius = 3

pie is a constant whose value is 3.14

Therefore

`\begin{gathered} 36*3.14\text{ = 3.14}*3^2* h \\ 113.04\text{ = 28.26h} \\ \text{Dividing both sides by h, it becomes} \\ (28.26h)/(28.26)=(113.04)/(28.26) \\ h=4 \end{gathered}`

The value of the height, h is 4 cm