Brainlyplususer Brainlyplususer
  • 25-05-2020
  • Mathematics
contestada

The height and the slant height of a cone are 21 cm and 28 cm
respectively. Find the volume of the cone.​

Respuesta :

CoolCracker
CoolCracker CoolCracker
  • 25-05-2020

Answer:

7546cm³

Step-by-step explanation:

From l² = r² + h² , we have

[tex]r = \sqrt{ {l}^{2} + {h}^{2} } = \sqrt{ {28}^{2} - {21}^{2} cm} = 7 \sqrt{7} [/tex]

so, volume of the cone = ⅓ π r² h = ⅓ × 22/7 × 7√7 cm

So , volume of the cone = 1/3πr²h = 1/3×22/7×7√7×7√7×21 cm³

= 7546cm³

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