Answer:
Volume of round cake pan = volume of cylinder
Volume of a cylinder = [tex]\pi r^2h[/tex] (where r is the radius and h is the height)
Radius = [tex]\dfrac12[/tex] diameter ⇒ [tex]r=\dfrac72=3.5[/tex]
⇒ volume of round cake pan = [tex]\pi \times 3.5^2 \times 2=24.5\pi[/tex]
= 76.97 in³ (nearest hundredth)
Volume of rectangular cake pan = volume of rectangular prism
volume of rectangular prism = [tex]wlh[/tex] (where w is the width, l is the length and h is the height)
⇒ volume of rectangular cake pan = 6 x 9 x 2 = 108 in³
As 108 > 76.97, the rectangular cake pan has a larger volume
