Find the volume of the cone. Round your answer to the nearest hundredth. A. 88.49 B. 132.73 C. 176.98 D. 353.95

Respuesta :

The missing figure is attached down

The volume of the cone is 88.49 cm³ to the nearest hundredth ⇒ A

Step-by-step explanation:

The formula of the volume of a cone is V = [tex]\frac{1}{3}[/tex] πr²h, where

  • r is the radius of its base
  • h is the length of its height

From the attached figure:

∵ The diameter of the base of the cone is 6.5 cm

∵ The radius = [tex]\frac{1}{2}[/tex] diameter

∴ r =  [tex]\frac{1}{2}[/tex] × 6.5 = 3.25 cm

∵ The length of the height of the cone = 8 cm

- Substitute r and h in the formula of the volume above

∵ V =  [tex]\frac{1}{3}[/tex] × π × (3.25)² × 8

∴ V = 88.48819308 cm³

- Round it to the nearest hundredth

∴ V = 88.49 cm³

The volume of the cone is 88.49 cm³ to the nearest hundredth

Learn more:

You can learn more about the volume in brainly.com/question/12497249

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