VinsonW745286 VinsonW745286
  • 25-10-2022
  • Mathematics
contestada

Find the volume of the cone. Round your answer to the nearest tenth. Use 3.14 for n. 11 cm 16 cm The volume is about cm3.

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KhaiaM430780 KhaiaM430780
  • 25-10-2022

Recall the formula for the Volume of a cone of radius R and height H:

[tex]\text{Volume}=\frac{1}{3}\pi\cdot R^2\cdot H[/tex]

Therefore in our case we replace the raduis R with half of the base's diameter: 11/2 = 5.5 cm, and H with the coné height 16 cm, and obtain:

[tex]\text{Volume}=\frac{1}{3}\pi\cdot(5.5)^2\cdot(16)=506.58666\ldots[/tex]

The answer is in cm^3, and we are asked to round it to the nearest tenth, so we type:

506.6 cm^3

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