Question

Which will hold more cake batter; the rectangular pan or two round pans? The volume of the rectangle pan is 234 in 3rd power. Find the volume of the two round pans and choose your decision. Round your answer to the nearest tenth if necessary.

Answer 1

Given a rectangular pan and two round pans

The volume, V, of the rectangular pan is 234 in³

A round pan is in the form of a cylinder

To find the volume, V, of the a round pan, the formula is

`V=\pi r^2h`

Where

`\begin{gathered} d=8in \\ r=(d)/(2)=(8)/(2)=4in \\ r=4in \\ h=2in \end{gathered}`

Substitute the variables into the formula above

`\begin{gathered} V=\pi\left(4\right)^2\left(2\right)=100.53in^3\text{ \lparen two decimal places\rparen} \\ V=100.53in^3\text{ \lparen two decimal places\rparen} \end{gathered}`

Since, there are two round pans, the volume of the two round pans will be

`2*100.53=201.06in^3`

nce, the volume of the two round pans is 201.06 i³.

Since the volume of the two round pans (201.06in³) is less than the volume of the rectangular pan (234in³), the rectangular pan will hold more.

Hence, the answer is rectangular pan (option a)