Given that, a sphere has a surface area of about 999 square millimeters.
Formula to find the surface area of sphere is,
S= 4πr² Where r = radius of the sphere and S= surface area.
Given S= 999 square millimeters.
So, we can write:
4πr² = 999
4 * 3.14 * r² = 999 Since, π = 3.14
12.56 *r² = 999
Divide each sides by 12.56.
r² = 79.53821656
r = √79.53821656 Taking square root to each sides of equation.
r = 8.918420071
So, r = 8.918 Rounded to nearest thousandth.
So, radius of the sphere is 8.918 millimeters.
Hope this helps you!
The answer to the question is 23.
Answer:

Step-by-step explanation:

After removing one black marble:

Given:
LMN is an equilateral triangle.
LM = LN = MN = 12 cm
To find:
The height of the triangle h.
Solution:
In a right angle triangle,



Multiply both sides by 12.


Therefore, the height of the triangle is
cm.
Answer:
The area of the shaded region is 17.4 square meters.
Step-by-step explanation:
Since the shaded region in the center equals the remainders of a circle, the area of a square equals its side squared, and the area of a circle equals π times the radius squared, for To determine the area of the shaded region, the following calculations should be performed:
(9 ^ 2) - (π x (9/2) ^ 2) = X
81 - (π x 4.5 ^ 2) = X
81 - (3.141 x 4.5 ^ 2) = X
81 - 3.141 x 20.25 = X
81 - 63.6 = X
17.4 = X
Thus, the area of the shaded region is 17.4 square meters.