Question

The volume V of a cylindrical can is represented by the formula V=pir2 A cilindrical can has a volume of 1089 pi cubic centimeters and a height of 9 centimeters what is the radius of the can?

Help​

Answer 1

r = (11√π)/π

Explanation:

V = πr²h

We are given V = 1089, and h = 9. Plug them into the formula and simplify

1089 = πr²(9)

121 = πr² (divide by 9 on both sides)

121/π = r² (divide by π on both sides)

√(121/π) = r (take the square root of both sides)

Now simplify √(121/π)

(√121)/(√π)

11/√π

[11(√π)]/[(√π)(√π)]

(11√π)/π

so r = (11√π)/π