Answer:
The volume of a cone that fits perfectly inside the soda can is 7.
Volume of a can:
21 = r² π h
21 = 3² π h
21 = 9 π h
h = 21/ 9π = 7/ 3π
Volume of a cone that fits perfectly inside a can:
V = 1/3 r² π h = 1/3 · 9 π · 7 / 3π = 7
Or you can use: V cone = 1/3 V cylinder ( with the same basis )
V cone = 1/3 * 21 = 7
Explanation:
Since we have given that
Volume of soda can = 21
Diameter of can = 6
As we know the formula for "Volume of cylinder:"
Now, we have to find the volume of a cone that fits perfectly inside the soda can.
so, its radius will be 3 cm and height will be
As we know the formula for "Volume of cone":
Hence, the volume of a cone that fits perfectly inside the soda can is 7.