The radius of the base of a cylinder is 10 centimeters and its height is 20 centimeters A cone is used to fill the cylinder with

Question

3 years ago

7

wager the radius of the cones base is 5 centimeters and its height is 10 centimeters

1 answer:

rewona [7] · Answer 1 · 2021-12-09T19:02:42+03:00

Answer:

24 times

Step-by-step explanation:

cone is used to fill cylinder

conevolume times x=cylindervolume

so

x=cylinderv/conev

cylinderv=hpir^2

conevolume=1/3hpir^2

cylinder:

v=hpir^2

r=10

h=20

v=20*pi*10^2=2000π

cone=1/3hπr²

r=5

h=10

v=1/3(10)π5²=250π/3

volume of cylinder ÷ volume of cone

= 2000π ÷ (250π÷3)

= 6000π ÷ 250π

= 600÷25

= 24

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