Answer:
34.8 times
Step-by-step explanation:
Cone
Base Radius of the Cone = 5cm
Height of the Cone = 10cm
Volume of a one [tex]=\dfrac13\pi r^2 h[/tex]
Volume
[tex]=\dfrac13\times \pi \times 5^2\times 10\\=\dfrac{250}{3}\pi $ cm^3[/tex]
Cylinder
Base Radius of the Cylinder = 10cm
Height of the Cylinder = 29cm
Volume of a Cylinder [tex]=\pi r^2 h[/tex]
Volume
[tex]=\pi \times 10^2 \times 29\\=2900\pi$ cm^3[/tex]
[tex]\dfrac{\text{Volume of Cylinder}}{\text{Volume of Cone}}=\dfrac{2900\pi}{\frac{250}{3}\pi }\\=2900 \times \frac{3}{250}\\=34.8[/tex]
A full cone will be used 34.8 times to fill the cylinder with water.
