Acylinder has volume 78 cm3 . what is the volume of a cone with the same radius and height? a 26 cm3 b 39 cm3 c 156 cm3 d 234 cm3

The volume of the cone is 26 cubic centimeters.

A cylinder has a volume of .

We need to determine the volume of a cone with the same dimensions compared to a cylinder.

Now,

The formula for finding the volume of the cylinder is .

The formula for finding the volume of the cone is .

Therefore, the volume of the cylinder is thrice the volume of the cone if we consider the same dimensions.

Thus,

Hence, the volume of the cone is 26 cubic centimeters.

To know more about the cone, please refer to the link:

link

Option A -

Step-by-step explanation:

Given: The volume of a cylinder =

Let us substitute the volume of cylinder in the formula.

The formula for volume of a cone is                    (1)

The formula for volume of a cylinder is              (2)

Substituting in equation (2), we get,

Given that the cone has the same radius and height of that of the cylinder, let us substitute in equation (1)

Thus, the volume of a cone with the same radius and height of a cylinder is .

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step-by-step explanation:

it would open into a square depending on the type of envelope i’m not sure about the second part