Respuesta :
Answer:
The number of times one needs to use the completely filled cone to completely fill the cylinder with water is 24.
Explanation:
Radius of cylinder = r = 10 cm
Height of cylinder = h = 20 cm
Volume of cylinder= V = [tex]\pi r^2h[/tex]...(1)
Radius of the cone = r' = 5 cm
Height of cone = h' = 10 cm
Volume of cone = V' = [tex]\frac{1}{3}\pi r'^2h'[/tex]...(2)
[tex]\frac{V}{V'}=\frac{\pi r^2h}{\frac{1}{3}\pi r'^2h'}[/tex]
[tex]\frac{V}{V'}=\frac{3.14\times 10 cm\times 10 cm\times 20 cm}{\frac{1}{3}\times 3.14\times 5 cm \times 5 cm\times 10}[/tex]
[tex]\frac{V}{V'}=24[/tex]
V = 24V'
The number of times one needs to use the completely filled cone to completely fill the cylinder with water is 24.
Answer:
24
Explanation:
Volume of a cylinder = [tex]\pi[/tex]r^2h
Radius of cylinder = 10cm
Height of cylinder = 20cm
Volume = 3.142*(10^2)*20 =6,283cm^3
Volume of a cone = [tex]\pi[/tex]r^2h/3
Radius of cone = 5cm
Height of cone = 10cm
Volume = 3.142*5^2 *10/3=261.8 cm^3
Number of times required = volume of cylinder /volume of cone
6283/261.8 =24 times
