Question

BAKING Darren is baking a two-layer cake and the pan for each layer is in the shape of a cylinder. The radius of the pan for the bottom layer is 6 inches and the radius of the pan for the top layer is 4 inches. The batter for both layers will fill the pan to a depth of 2 inches.

Rounded to the nearest cubic inch,
Darren needs ______ cubic inches of batter.​

Answer 1

he will need 327 cubic inches of batter

Explanation:

Volume of pan =
`\pi r^2h`

h = 2

volume of top layer:

`\pi *6^2*2 = 72\pi`

volume of bottom layer:

`\pi *4^2*2 = 32\pi`

`72\pi + 32\pi = 104\pi\\104\pi = 326.72`≈
`327`

Darren needs 327 cubic inches of batter.