linnlinn7483 linnlinn7483
  • 02-03-2021
  • Mathematics
contestada

Sebuah wadah berbentuk kerucut dengan volume 16.632 cm3 dan tinggi 36 cm. Tentukan jari jari alas kerucut tersebut ​

Respuesta :

andromache andromache
  • 03-03-2021

Answer:

21 cm

Step-by-step explanation:

The computation of the radius is shown below:

As we know that

The volume of the cone = [tex]\frac{1}{3} \pi r^2h[/tex]

where

Volume of the cone is 16.632 cm^3

height = 36 cm

So, the radius of the cone is

[tex]16.632 cm^3 = \frac{1}{3} \times \frac{22}{7} \times r^2 \times 36\\\\16.632 cm^3 = \frac{22}{7} \times 12 \times r^2\\\\16.632 cm^3 = \frac{264}{7} \times r^2\\\\r = \sqrt{441} \\\\r = 21 cm[/tex]

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