. Jayvon bakes two small circular cakes that are 8 inches across their widest point and 3 inches high. He removes the cake from the pans to frost them. Jayvon would like a consistent quarter-inch deep layer of frosting. How many cubic inches of frosting does he need for the cakes if he wants to frost only the top and sides of each cake

20π in³ or 62.832 in³

Step-by-step explanation:

The surface area for each cake is given by:

Where 'r' is the radius of each cake (4 inches), and 'h' is the height of each cake (3 inches). Since there are two cakes, the total surface area is:

If Jayvon wants a consistent quarter-inch deep layer of frosting covering the surface of the cakes, the volume of frosting required is:

He needs 20π in³ or 62.832 in³ of frosting.

Hello there!

We have 4 pizzas, and 1 and 1/2 of them have pepperoni (and 2 and 1/2 do not have pepperoni).

The scouts ate 5/6 of the pizzas that contained pepperoni, this means that they ate 5/6 of the 1 and 1/2 pizza with pepperoni (that can be written as 1 + 1/2 = 3/2)

first we could write the initial fraction of pizza with pepperoni, this is the amount of pizza with pepperoni divided by the total amount of pizza:

(3/2)/4 = 3/8

and now, because the scouts eat 5/6, there is 1/6 left.

then we have (1/6)*(3/8) = 3/48 of the 4 original pizzas, but we could simplify it a bit by dividing both denominator and numerator by 3.

3/48 =  1/16