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1 vote
1 vote
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

User BCArg
by
3.2k points

1 Answer

14 votes
14 votes

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

User Ryzal Yusoff
by
3.3k points
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