4. What is the volume of the cone shown below?
Round to the nearest tenth.
5 ft.
d = 2 ft.
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The volume of given cone is 5.23 cubic feet.
Volume is the measure of the capacity that an object holds.
[tex]v = \frac{1}{3} \pi r^{2} h[/tex]
where,
v is the volume of cone
r is the radius of cone
h is the height of cone
According to the question we have
Diameter of cone is 2ft
⇒ radius of the cone = [tex]\frac{2}{2} = 1 feet[/tex]
Height of the cone is 5ft.
Therefore,
The volume of the cone = [tex]\frac{1}{3}(1)\pi( 1)^{2} (5)[/tex]
Volume of cone = [tex]\frac{1}{3} (3.14)(1)(5) = 5.23 cubic feet[/tex]
Hence, hence the volume of given cone is 5.23 cubic feet.
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