Question

the formula for the volume of a cylinder is V=πr²h A cylinder has a volume of 300p feet³ and a radius of 5 feet (A) Solve the formula V= πr²h for h (B) Find the height of the cylinder

Answer 1

`V=\pi\cdot r^2\cdot h`

A) To solve the formula for h:

1. Divide both sides of the equation into π*r²:

`\begin{gathered} (V)/(\pi\cdot r^2)=(\pi\cdot r^2\cdot h)/(\pi\cdot r^2) \\ \\ (V)/(\pi\cdot r^2)=h \end{gathered}`

B) You have the next data:

V=300πfeet³

r=5feet

Substitute those values in the formula you get in A) and calculate the h:

`\begin{gathered} h=(300\pi\cdot ft^3)/(\pi\cdot(5ft)^2) \\ \\ h=(300ft^3)/(25ft^2)=12ft \end{gathered}`Then, the height of the cylinder is 12 feet