Answer:
If
, the slang height of the cone is approximately 23.521 inches.
Step-by-step explanation:
The surface area of a cone (A) is given by this formula:

Where:
- Base radius of the cone, measured in inches.
- Slant height, measured in inches.
In addition, the slant height is calculated by means of the Pythagorean Theorem:

Where
is the altitude of the cone, measured in inches. If
, then:

And:

Given that
, the following second-order polynomial is obtained:

Roots can be found by the Quadratic Formula:



As radius is a positive unit, the first root is the only solution that is physically reasonable. Hence, the slang height of the cone is approximately 23.521 inches.
It is a percent increase and it increased by 15%
I got this answer by doing 24.61/21.40 which equals 1.15
You can check this answer by doing 21.40 * .15 on a calculator and when you do this you get 3.21 which you can then add back to 21.40 to get $24.61
Does it want it in standard form e.ge 0.00002 = 2 x 10(to the power of) -5, or is that in m and it wants you to convert it to micrometres?
There are many solutions. Some are 470 and 6, 471 and 5, 472 and 4.