PLEASE ANSWER!
A cylinder has a volume of 216 cm3. By what factor must the dimension of the cylinder be multiplied to give a similar cylinder and reduce the volume by 208 cm3

Dimensions of cylinder must be multiplied by a factor of ,  to give a similar cylinder and reduce the volume by 208 .

Step-by-step explanation:

Here we have , A cylinder has a volume of 216 . By what factor must the dimension of the cylinder be multiplied to give a similar cylinder and reduce the volume by 208 . Let's find out:

We know that Volume of cylinder =

Now , Similar cylinder means dimensions are in same ratio . According to question initial volume is 216 i.e.

⇒

Now , the volume is reduced by 208 , So new volume is :

⇒

⇒

Here ,

⇒

⇒

⇒

⇒

Therefore , Dimensions of cylinder must be multiplied by a factor of ,  to give a similar cylinder and reduce the volume by 208

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of