A right cone has a slant height of 17 feet and the diameter of the base is 16 feet what is the height, h of the cone?

h = 15 feet

Step-by-step explanation:

A right triangle is formed by the slant height, the radius of the base and h, with the slant height being the hypotenuse.

Using Pythagoras' theorem in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

Since base diameter = 16 then radius = 8

h² + 8² = 17²

h² + 64 = 289 ( subtract 64 from both sides )

h² = 225 ( take the square root of both sides )

h =  = 15

after lydia compare her check register to her bank statement, and the ending balances do not seem to match. then, she must make a bank reconciliation by putting the data all together.

to do this, she need to determine the bank ending balance. after, add the deposits in transit then deduct the outstanding checks. moreover, if the actual checkbook balance does not equal this number, check again for transporting errors by subtracting the balances and add the difference to nine. sometimes, a mathematical error can happen but a bank reconciliation is a great tool to resolve the discrepancies.