It's the formula of the volume of a cone with equal lengths of radius and height.
![\dfrac{1}{3}\pi r^3=V\ \ \ \ |\cdot3\\\\\pi r^3=3V\ \ \ \ |:\pi\\\\r^3=\dfrac{3V}{\pi}\to r=\sqrt[3]{\dfrac{3V}{\pi}}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20r%5E3%3DV%5C%20%5C%20%5C%20%5C%20%7C%5Ccdot3%5C%5C%5C%5C%5Cpi%20r%5E3%3D3V%5C%20%5C%20%5C%20%5C%20%7C%3A%5Cpi%5C%5C%5C%5Cr%5E3%3D%5Cdfrac%7B3V%7D%7B%5Cpi%7D%5Cto%20r%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B3V%7D%7B%5Cpi%7D%7D)
Answer:
option D
. 254.34cm^2
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
The options are:
A
. 56.52cm^2
B
. 141.30cm^2
C
. 1,017.36cm^2
D
. 254.34cm^2
step 1
Find the diameter of the largest circle
we know that
The diameter of the largest circle is equal to the sum of the diameter of the two inside circles
so

step 2
Find the area of the largest circle
we know that
The area of the circle is given by the formula

we have
----> the radius is half the diameter
assume

substitute

A) No solutions, because the number under the square root symbol in the quadratic equation (b^2 - 4ac) is negative.
B) One solutions, because the number under the square root symbol in the quadratic equation (b^2 - 4ac) is equal to 0.
15-7=8
solutions could be:
10-2=8
18-10=8
9-1=8
take your pick!