Answer:
4.9 cm
Step-by-step explanation:
The original can has a volume of ...
V = πr²h = π(6 cm)²(10 cm) = 360π cm³
The new can will have the same volume, but a different height:
360π cm³ = πr²(15 cm)
24 cm² = r² . . . . . divide by 15π cm
r = √24 cm ≈ 4.9 cm . . . . . take the square root
The new radius must be about 4.9 cm.
