Assume cylinder a and cone b are the same height and the bases have the same radius. if a has a volume of 18π cm3, what is the volume of b? (round to nearest whole number) a) 19 cm3 b) 21 cm3 c) 24 cm3 d) 36 cm3

Option A  

Step-by-step explanation:

The volume of a cone is:

The volume of a cylinder is:

Both figures have the same height h and the same radius r.

The volume of the cylinder

We want to find the volume of the cone.

Then, we find r and h:

We simplify.

Then the product of .

We substitute this in the cone formula and get:

A)19 cm3

Step-by-step explanation:

Volume of a cone is calculated as:

Volume of a cylinder is calculated as:

From the above two expressions we can see that if the height and radius of a cone and cylinder will be equal, the volume of cone will be 1/3 of the volume of the cylinder.

We are given the volume of Cylinder A to be 18π. So the volume of Cone B will be:

Volume of Cone B = 1/3 of Volume of Cylinder A

Volume of cone B = 1/3 x 18π =  6π = 19 cm³ (rounded to nearest whole number)

Thus, the volume of given cone B will be 19 cm³ rounded of to nearest whole number.

step-by-step explanation:

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