If the radius of a cylinder is doubled and the height is tripled, what happens to the volume?
a)
it is multiplied by 6.
b)
it is multiplied by 12.
it is multiplied by 18.
d)
it is multiplied by 32

B

Step-by-step explanation:

Original volume = pi * r^2 * h

New r = 2*r

New h = 3*h

New Volume = pi * (2r)^2 *3*h

New Volume = pi * 4r^2 * 3 *h

New Volume = 4*3 * pi * r^2 + h

Conclusion

The New Volume = 12* the original volume

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

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: