Height of the larger cone is 27 cm
Step-by-step explanation:
- Step 1: Volume of a cone = 1/3 πr²h. Let the height of the larger cone be H.
Volume of the larger cone = 27 cm³
Volume of the smaller cone = 8 cm³
Height of the smaller cone = 2 cm
⇒ Volume of the larger cone/Volume of the smaller cone
⇒ 27/8 = 1/3 πr²H/1/3 πr² × 8
⇒ 27/8 = H/8
⇒ H = 27 cm
