Question

a cone has a height of 9 cm and a radius of 6 cm. what is its approximate volume using \\( \pi = 3.14 \\)?
a. \\( 452.16 \mathrm { cm } ^ { 3 } )
b. \\( 339.12 \mathrm { cm } ^ { 3 } )
c. \\( 169.56 \mathrm { cm } ^ { 3 } )
d. \\( 282.6 \mathrm { cm } ^ { 3 } )

Explanation:

Step1: Recall the formula for the volume of a cone

The formula for the volume of 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 \(r = 6\mathrm{cm}\), \(h=9\mathrm{cm}\), and \(\pi = 3.14\).

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Step3: Simplify the expression

First, \(\frac{1}{3}\times9 = 3\). Then \(V=3\times3.14\times36\).
\(3\times36 = 108\), so \(V = 3.14\times108\).
\(3.14\times108=339.12\mathrm{cm}^3\)

Answer:

B. \(339.12\mathrm{cm}^3\)