Respuesta :

Answer:

Step-by-step explanation:

πr² = 18

v = 90 cm³

1/3πr² h = 90

1/3*18*h = 90

h = 90*3/18

h = 5*3 =15 cm

The height of a cone with volume and base area of 90cm³ and 18 cm² respectively is 15 cm.

Volume of a cone

volume of a cone = 1 / 3 πr²h

where

  • r = base radius
  • h = height of the cone

Base area of the cone = πr²

Therefore,

volume  = 90 cm³

Base area = 18 cm²

Hence,

90 = 1 / 3 × 18 × h

cross multiply

270 = 18h

h = 270 / 18

h = 15 cm

learn more on cone here:https://brainly.com/question/1984638

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