Question

A cone with height h and radius r has volume V = 1/3πr^2h. If a certain cone with a height of 9 inches has volume V = 3πx^2 + 42πx + 147π, what is the cone’s radius r in terms of x?

Answer 1

Answer:

Step-by-step explanation:

height =  9

volume = 1/3πr²h

             = 1/3πr²9

              = 3πr²

given volume = 3πx²+42πx+147π

volme = given volume

3πr² = 3πx²+42πx+147π

3πr² = 3π [x²+14x +49]

3πr²÷3π = x²+14x+49

r² = x²+14x+49

r = √(x²+14x+49)

hope it helps....