Given:
Principal = $14000
Rate of interest = 10% compounded semiannually.
Time = 11 years.
To find:
The accumulated value of the given investment.
Solution:
Formula for amount or accumulated value after compound interest is:

Where, P is the principal values, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.
Compounded semiannually means interest compounded 2 times in an years.
Putting
in the above formula, we get




Therefore, the accumulated value of the given investment is $40953.65.
Remember that the cone volume formula is
, with r = radius and h = height. Using our information, we can form our equation as such:
(I'll be keeping the answer in pi form.)
Firstly, solve the exponents:
Next, multiply 4 and 19/3 together and your answer should be (rounded to the hundreths): V = 25.33π un^3