Respuesta :
Cylinder
Radius of the base of a cylinder=10 cm
Height = 20 cm
Cone
radius of the cone base= 5 cm
height = 10 cm
cone is used to fill the cylinder with water. Let n be the number of times the water in the cone is transferred in the cylinder to fill it completely.
A.T.Q
n × volume of cone = volume of cylinder
[tex]n\times\frac {1}{3}\pi R^{2} H=\pi r^{2}h[/tex]
Cancelling (π) from both sides,we get
⇒n×1/3×5×5×10=10×10×20
⇒n=[2000×3]÷250
n=24
24 cones having radius 5 cm and height 10 cm will fill the cylinder having radius of the base 10 centimeters, and height 20 centimeters.
Answer:
The answer is 24.
Step-by-step explanation:
The volume of cylinder will be = [tex]V=\pi r^{2} h[/tex]
r = 10 cm
h = 20 cm
So, V = [tex]3.14\times10\times10\times20=6280[/tex] cubic cm
The volume of cone will be = [tex]V=\frac{1}{3}\times \pi r^{2} h[/tex]
r = 5 cm
h = 10 cm
So, V = [tex]\frac{1}{3}\times3.14\times5\times5\times10=261.67[/tex] cubic cm.
Now, the number of cones needed to fill the cylinder will be = [tex]6280/261.67=23.999[/tex] ≈ 24
The answer is 24.
