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LuckyWell [14K]
3 years ago
12

What is the volume of the item described?

Mathematics
2 answers:
densk [106]3 years ago
8 0
612 π ​ m³ and <span>1922 m³ are your answers.</span>
Lunna [17]3 years ago
3 0
<h2>Answer</h2>

612 π ​ m³

1922 m³

<h2>Explanation</h2>

The body of the rocket is a cylinder; to find its volume, we are going to use the formula for the volume of a cylinder:

V=\pi r^2h

where

r is the radius of the cylinder

h is the height

We know from our problem that the radius of the cylinder is 6 m and its height is 16 m, so let's replace the values:

V=\pi (6m)^2(16m)

V=\pi (36m^2)(16m)

V=576\pi m^3

V=1809m^3

The volume of the cylinder is 1810m^3

To find the volume of the cone, we are going to use the formula:

V=\pi r^2\frac{h}{3}

where

r is the radius

h is the height

We know form our problem that the radius of the cone is 6 m and its height is 3 m, so let't replace the values:

V=\pi (6m)^2(\frac{3m}{3} )

V=\pi (36m^2)(1m)

V=36\pi m^3

V=113m^3

Now, we just need to add the volumes in terms of \pi and the volumes rounded to the nearest whole:

Volume of the item in terms of π = 576\pi m^3+36\pi m^3=612\pi m^3

Volume of the item rounded = 1809m^3+113m^3=1922m^3

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