Haven1808 Haven1808
  • 29-01-2020
  • Mathematics
contestada

Find the volume of the cone shown. Use 3.14 for pi. Round your answer to the nearest hundredth.

Respuesta :

lublana
lublana lublana
  • 30-01-2020

Answer:

307.72 cubic in

Step-by-step explanation:

We are given that

Height of cone=24 in

Slant height of cone=25 in

We know that

Diameter, d=[tex]\sqrt{l^2-h^2}[/tex]

d=[tex]\sqrt{(25)^2-(24)^2}=\sqrt{49}=7 in[/tex]

Radius of cone=r=[tex]\frac{d}{2}=\frac{7}{2}in[/tex]

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

Where [tex]\pi=3.14[/tex]

Using the formula

Volume of cone=[tex]\frac{1}{3}\times 3.14\times (\frac{7}{2})^2\times 24[/tex]

Volume of cone=307.72 cubic in

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