Examples of Volume• Draw & label the radii and heights of three real world objects ( a cone, sphere and cylinder ) • Use formulas to solve for the volume of each

Respuesta :

Cone

A sugar cone that is 2 inches in diameter and 5 inches tall

The volume is given by:

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

Substitute h = 5 in and r = d/2 = 2/2 = 1 in

[tex]V=\frac{1}{3}\pi(1)^2(5)=\frac{1}{3}\pi(1)(5)=\frac{5}{3}(3.14)=5.23\text{ in}^3[/tex]

Answer: volume is 5.23 in^3

Sphere

Soccer balls with a radius of 14cm

The volume of the sphere is:

[tex]V=\frac{4}{3}\pi r^3[/tex]

Where r = 14 cm

Substitute

[tex]V=\frac{4}{3}(3.14)(14)=58.61\text{ cm}^3[/tex]

Answer: Volume is 58.61 cm^3

Cylinder

A scented candle is in the shape of a cylinder, with a radius of 4cm and a height of 12cm.

And the volume is:

[tex]V=\pi r^2h[/tex]

Substitute the values h = 12 cm and r = 4 cm

[tex]V=(3.14)(4)^2(12)=602.88\text{ cm}^3[/tex]

Answer: de volume is 602.88 cm^3

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