1. a cake in the shape of a circus tent is used as a centerpiece at a celebration. the cake consists of a cylinder and a cone. the cylinder has a diameter of 12 inches and a height of 14 inches. the cone has a height of 6 inches. what is the volume of the cake? round your answer to the nearest tenth of a cubic inch. use 3.14 to approximate pi. show your work. ( show me how you get your answers) i need !

Let us divide the shape of the cake into two parts:

1) The cylindrical part.
2) The cone of the tent.

Note: In order to find the total volume of the cake, we have to add the volumes of both of the above-mentioned part.

1.
The volume of the cylinder =  --- (A)

We have the height = h = 14 inches.
Radius = r = Diameter / 2 = 12/2 = 6 inches.

and = 3.14

Put the above values in equation (A);
(A) => The volume of the cylinder = (3.14) * (6 x 6) * (14) = 1582.56 inches cubed

2. 
The volume of the cone =  --- (B)

Since the cake is in "circus tent" shape, therefore, the radius of the cone should be equal to the radius of the cylinder.

Radius of the cone = r = 6 inches.
Height of the cone = h = 6 inches.

and = 3.14

Put the above values in equation (B);
(B) => The volume of the cone = (3.14) * (6 x 6) * (6 / 3) = 226.08 inches cubed

The volume of the cake = Volume of the cylinder + Volume of the cone
  = 1582.56 + 226.08 = 1808.64 inches cubed

Ans: The volume of the cake = 1808.64 

-i

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