To find the volume of the cone after knowing the volume of the cylinder, Nevaeh needs to follow these steps:
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Understand the Volume of the Cylinder: The formula for the volume of a cylinder is given by: \[ V_{\text{cylinder}} = \pi r^2 h \] where \( r \) is the radius of the base and \( h \) is the height.
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Find the Dimensions: Since the cone has the same height \( h \) and base radius \( r \) as the cylinder, Nevaeh can use the radius and height values of the cylinder for the cone.
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Use the Cone Volume Formula: The formula for the volume of a cone is given by: \[ V_{\text{cone}} = \frac{1}{3} \pi r^2 h \]
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Calculate the Volume of the Cone: Since Nevaeh knows the volume of the cylinder, she can find the volume of the cone by taking one-third of the volume of the cylinder. Specifically: \[ V_{\text{cone}} = \frac{1}{3} V_{\text{cylinder}} \]
In summary, Nevaeh must take the volume of the cylinder and divide it by 3 to find the volume of the cone.