Word Problem Wednesday: Cake!

By Damaris | Added Aug 10, 2016

Here at Mathnasium, we think math is pretty yummy ... hence this week's delightfully delectable installment of Word Problem Wednesday! Sink your teeth into our cake word problem; we'll update with the answer tomorrow. Nom, nom, nom, indeed!

If you bake 2 layers of cake in circular cake tins that are 10 inches across and 2 inches deep, what volume of cake will you have?
(Hint: the volume of a cylinder is π × r2 × h; r is the radius and h is the height.)

Update: Here's the solution!

If the tin is 10 inches across, then the radius of the cake is 5 inches. If the cake has 2 layers that are each 2 inches high, then the height of the cake is 4 inches.

π × 52 × 4 = π × 25 × 4 = 100π


So, the volume is 100π inches cubed... or 314 inches cubed!