Question

the cylindrical part of an architectural column has a height of 305 cm and a diameter of 30 cm. find the volume of the cylindrical part of the column. use 3.14 for π, and round your answer to the nearest cubic centimeter if needed. 1 of 5 quest 215,483 cm³ 4789 cm³ 861,930 cm³ 9577 cm³

Explanation:

Step1: Calculate the radius

The formula for the radius \(r\) of a circle is \(r=\frac{d}{2}\), where \(d\) is the diameter. Given \(d = 30\) cm, so \(r=\frac{30}{2}=15\) cm.

Step2: Use the formula for the volume of a cylinder

The formula for the volume \(V\) of a cylinder is \(V=\pi r^{2}h\), where \(h\) is the height. Substitute \(\pi = 3.14\), \(r = 15\) cm, and \(h=305\) cm into the formula:

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Answer:

\(215,483\mathrm{cm}^{3}\)