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

just do 5.2 + 2 ( 7.2) and 1/3 x 3 (.9) and youv'e got your equation. 0.9( 9/10) + 7.2 ^2 = 16.4 hope i could !

step-by-step explanation:

answer: 48

just remember to use pemdas:

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