Answer:
B. 8.6 cm
Step-by-step explanation:
⅓*πr²h = Volume formula of a cone (V)
Volume of cone (V) = 225 cm³
diameter of cone (d) = 10 cm
radius of cone (r) = ½(10) = 5 cm
height (h) = ?
Plug in the values into the equation and solve for h
⅓ × π × 5² × h = 225
⅓ × π × 25 × h = 225
(25π × h)/3 = 225
Multiply both sides by 3
(25π × h)/3 × 3 = 225 × 3
25π × h = 675
Divide both sides by 25π
h = 675/25π
h ≈ 8.6 cm (nearest tenth)
