To apply frosting to a cake, a baker twists a plastic bag containing the frosting into a cone shape with a diameter of 4 in and a length of 6 in. how many cubic inches of frosting is in the bag? use 3.14 for pi. enter your answer in the box as a decimal rounded to the nearest tenth.

Cub inches of frosting in the bag to the nearest tenth:

25.1

To find the volume of the frosting, we are using the formula for the volume of a cone:

Volume of the cone:

where

is the volume of the cone

is the radius  

is the height

Since the radius is half the diameter, . The lenght of the bag is the height of the cone, so . Let's replace the values in our formula to find :

And rounded to the nearest tenth:

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

2

step-by-step explanation: