Acylinder and a cone have congruent bases and the same volume. what could be the height of the cylinder and the height of the cone? a height of cylinder = 4 cm height of cone = 12 cm b height of cylinder = 12 cm height of cone = 3 cm c height of cylinder = 12 cm height of cone = 16 cm d height of cylinder = 36 cm height of cone = 12 cm

Step-by-step explanation:

The volume of a cylinder is expressed as

V = πr^2h

Where

π is a constant

h is the height of the cylinder

The volume of a cone is expressed as

V = 1/3πr^2h

Where

π is a constant

h is the height of the cone

If the cylinder and a cone have congruent bases and the same volume, it means that

πr^2h = 1/3πr^2h

πr^2 cancels out on both the left hand side and right hand side of the equation. It becomes

h = h/3

It means that the height of the cone is 3 times the height of the cylinder. Therefore,

If height of cylinder = 4 cm, height of cone = 12 cm

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.