Two cones are similar. The volume of the larger cone is 27 cm3 and the volume of the smaller cone is 8cm3. The height of the smaller cone is 2 cm what is the height

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