Assume Cylinder A and Cone B are the same height and the bases have the same radius. If A has a volume of 1876 cm, what is the
volume of B? (round to nearest whole number)

625 cm³

Step-by-step explanation:

Volume of a cylinder is:

V = πr²h

Volume of a cone is:

V = ⅓ πr²h

The cylinder and cone have the same radius and height.  So if the volume of the cylinder is 1876 cm³, then the volume of the cone is one third of that, or approximately 625 cm³.

Volume of cone = 625 cm³

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume of cylinder = πr²h- - - - - - 1

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant.

The formula for determining the volume of a cone is expressed as

Volume of cone = 1/3πr²h- - - - - - -2

Substituting equation 1 into equation 2, then

Volume of cone = 1/3 × volume of cylinder

If A has a volume of 1876 cm and Cylinder A and Cone B are the same height and the bases have the same radius, it means that

Volume of cone = 1/3 × 1876

= 625 cm³ to the nearest whole number

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step-by-step explanation:

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