A cylinder has a radius of 3 feet and a height of 7 feet. Which of the following can be used to calculate the volume of a cone that fits exactly inside the cylinder?

means it has same base and same height

vcone=height times base times 1/3
base=circle=pir²

so
given
r=3
h=7

V=(1/3)(7)(pi3²)
V=(7/3)(9pi)
V=21pi

answer is 21pi cubic feet or aprox65.97 cubic feet

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chisnau chisnau · Answer 2 · 2019-05-24T08:46:41+02:00

Answer:

The formula [tex]\frac{1}{3}\times3.14\times3\times3\times7[/tex] is used to find the cone volume.

Step-by-step explanation:

We know that the radius of cylinder is = 3 feet

Height of the cylinder is = 7 feet

Its volume can be found as :

[tex]v=\pi r^{2}h[/tex]

= [tex]3.14\times3\times3\times7=197.82[/tex] cubic feet

Now, volume of cone is given as :

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

This means, the volume of cone is one-third the volume of cylinder.

So, the volume of cone that can fit in the cylinder will be one-third the volume of cylinder.

[tex]\frac{1}{3}\times3.14\times3\times3\times7 = 65.94[/tex] cubic feet

If we want to check we can say that the volume of cylinder is three times cone. [tex]65.94\times3=197.82[/tex]

Therefore, a cone with volume 65.94 cubic feet will fit into a cylinder with volume 192.82.