Question

Given a soda can with a volume of 15 and a diameter of 2, what is the volume of a cone that fits perfectly inside the soda can? (hint: only enter numerals in the answer bl

Answer 1

According to question

Diameter of Can    D = 2 
Thus 
Radius of Can = D/2 = 1

So Volume of Can = pi  r^2 * H
                  15 = pi * H
So Height of Can    H = 15 / pi

Now for Cone 

Radius r = 1.    Height h = 15/pi

So Volume of cone  = 1/3 pi r^2 * h
                                 = 1/3 * pi * 1 * 15 /pi
                                 = 5 

Thus Volume of cone is 5 

Answer 2

Given:
Volume of soda can= 15
Diameter of soda can and cone (d) =2
Radius of soda can and cone = d/2 = 2/2= 1
Radius of soda can= 1
Volume of soda can(Cylinder) = πr²h
15 = π(1)²h
15 = πh
h = 15/π………….(1)
Volume of cone = ⅓(πr²h)
Volume of cone = ⅓ ×π× 1²×(15/π)
[ From eq. 1]
= 15/3= 5
Hence , volume of cone = 15

HOPE THIS WILL HELP YOU...