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Mashcka [7]
3 years ago
8

Given a soda can with a volume of 36 and a diameter of 4, what is the volume of a cone that fits perfectly inside the soda can?

(Hint: only enter numerals in the answer blank).
Numerical Answers Expected!
Mathematics
2 answers:
djyliett [7]3 years ago
7 0

Step-by-step explanation:

We know

Volume of a cylinder is V = \pi r^{2}h

                                       V = \pi \left (\frac{D}{2}\right )^{2}h

where V is volume of the soda can = 36 (given )

          D is diameter = 4 (given )

          h is the height of the soda can  

V = \pi \left (\frac{D}{2}\right )^{2}h

V = \pi \frac{D^{2}}{4}h

     36 = 3.14 x (16/4) x h  

     36 = 3.14 x 4 x h

    36 = 12.56 x h

∴ 36 / 12.56 = h

 h =  2.87

Now we know that the volume of a cone is given by

V = \pi\times  \frac{D^{2}}{4}\times \frac{h}{3}

V = \pi\times  \frac{4^{2}}{4}\times \frac{2.87}{3}

           = 3.14 x 4 x 0.95

          = 11.932

         = 12 (approx.)

Therefore 12 units cube of volume can be easily fitted in a soda can of 36 unit cubes.

jasenka [17]3 years ago
6 0
The volume of the cone is 12
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