4 x^2 + 20 x + 25 = 7
Divide both sides by 4:
x^2 + 5 x + 25/4 = 7/4
Write the left-hand side as a square:
(x + 5/2)^2 = 7/4
Take the square root of both sides:
x + 5/2 = sqrt(7)/2 or x + 5/2 = -sqrt(7)/2
Subtract 5/2 from both sides:
x = sqrt(7)/2 - 5/2 or x + 5/2 = -sqrt(7)/2
Subtract 5/2 from both sides:
Answer: x = sqrt(7)/2 - 5/2 or x = -5/2 - sqrt(7)/2
The answer is < because |-15| is farther from zero
18.5 - 6.75 = 11.75 (3/4 = .75 and 1/2 = .5)
The volume of a larger cone:
The volume of a smaller cone:
The volume of the frustum:
<h3>Answer: 42.75π cm³.</h3>
