Question

a cylinder has a radius of 7 centimeters and a height of 12 centimeters. what is the volume of a cone with the same base area and height as the cylinder? use 3.14 for π and round your answer to the nearest tenth. use the keypad to type your answer in the box provided. the volume of the cone is cubic centimeters.

Explanation:

Step1: Recall the volume formula for a cone

The volume formula for a cone is \(V=\frac{1}{3}\pi r^{2}h\), where \(r\) is the radius and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(r = 7\) cm and \(h=12\) cm, and \(\pi = 3.14\).

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Step3: Round to the nearest tenth

Rounding \(615.44\) to the nearest tenth gives \(615.4\).

Answer:

\(615.4\)