If the diameter of the base of the cone is 4.0 inches and the slant height is 6.0 inches, what is the volume of the ice cream and the area of the waffle that made the cone?

Step-by-step explanation:

Given the diameter of the base of the cone = 4.0inches

radius of the cone = 4.0/2 = 2.0inches

slant height l = 6.0inches

Volume of the ice cream that made the cone = 1/3

to get the height of the cone we will use the Pythagoras theorem.

According to the theorem,

given hyp = slant height = 6in

adjacent = base radius = 2in

height = opposite

opp =

opp =

opp = height = 5.7in

Volume = 1/3 * 3.14 * 2² * 5.7

volume = 23.86in³

For the surface area;

Surface area of a cone = πr(r+l)

surface area = 2π(2+6)

surface area = 16π in²

the third picture

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: