What is the volume of a small cone if:

two cones are similar. the lateral area of the small cone is equal to 60pi cm squared. the radius and the slant height of the large cone measure respectively 9cm and 15cm. what is the volume of the small cone?

Volume of smaller cone =301.44

Step-by-step explanation:

First let angle of cone be.

then = 3/5       (For bigger triangle)

Same cone angle is for smaller one because they are similar.

= 4/5

Now for smaller cone radius be R

3/5 =R/Slant height

Slant height =5/3R

Lateral surface area =  [R = slant height]  

Given lateral surface area =60 =   ...................................1

       ................................................2

Put angle beta in equation 1 and find the value of R

R =6 cm

Height =

Thus volume =

                     =301.44

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:

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.