Question

what is the volume of an oblique cone with a height of 5 centimeters and with 3 centimeters as the radius of its base? 2 of 4 question 5πcm³ 30πcm³ 45πcm³ 15πcm³

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 of the base and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(r = 3\) cm and \(h=5\) cm. Substitute these into the formula: \(V=\frac{1}{3}\pi\times(3)^{2}\times5\).
First, calculate \((3)^{2}=9\). Then the expression becomes \(V=\frac{1}{3}\pi\times9\times5\).
Since \(\frac{1}{3}\times9 = 3\), the formula simplifies to \(V=3\times5\times\pi\).

Step3: Calculate the final value

\(3\times5=15\), so \(V = 15\pi\) \(cm^{3}\).

Answer:

\(15\pi\ cm^{3}\) (the fourth option)