Question

The volume that is inside the larger cylinder shown but outside the cylinder with the

smaller radius, r, can be found with the formula below.
V = 250 - 10x²2
V is the volume inside the larger cylinder but outside the smaller cylinder in cubic
centimeters.
r is the radius of the smaller cylinder in centimeters.
Which equation and solution gives the radius of the smaller cylinder if the volume
inside the larger cylinder but outside the smaller cylinder is 160xz centimeters"?
160x250x- 10²
r=2
V = 250x - 10x(4)²
V = 90x
160x250x-102²
r=3
V =
250 - 10(4)²
V = 90
5 cm
CLEAR
10 cm
CHECK

Answer 1

Explanation:

The correct equation and solution is:

160x = 250 - 10r²

160x + 10r² = 250

10r² = 250 - 160x

r² = (250 - 160x) / 10

r = √[(250 - 160x) / 10]

Therefore, the correct equation and solution for the radius of the smaller cylinder is:

r = √[(250 - 160x) / 10]