The volume of a cylinder is approximately 72ft3. Which is the best approximation of the volume of a cone with the same base and height as the cylinder?

24 ft^3

Step-by-step explanation:

Cylinder:

Volume = (pi)r^2h

Cone:

Volume = (1/3)(pi)r^2h

When using r and h for both a cylinder and a cone, the only difference is the factor of 1/3 for the volume of the cone.

A cone with the same radius and height as a cylinder has 1/3 the volume of the cylinder.

volume of cylinder = 72 ft^3

volume of cone = (1/3) * 72 ft^3 = 24 ft^3

The volume of cone is 24 ft³

Step-by-step explanation:

Given that volume of cylinder = 72 ft³

Volume of cylinder = πr²h

Volume of cone = r²h

Volume of cone = volume of cylinder/3

= 72/3

= 24 ft³

(23*2)-12=x     x=34

step-by-step explanation:

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12