Question

jordan designs cones for ice cream machines. one cone has a radius of 3 cm and a height of 6 cm. another machine makes s radius of 3 cm. he wants to compare their volumes. question 4 what is the volume of the cone? (use π = 3.14) 169.56 cm³ 84.78 cm³ 56.52 cm³

Explanation:

Step1: Recall the formula for the volume of 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 \( r = 3\space\text{cm} \), \( h=6\space\text{cm} \), and \( \pi = 3.14 \).

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Step3: Simplify the expression

First, \( \frac{1}{3}\times9 = 3 \). Then \( 3\times6\times3.14= 18\times3.14 = 56.52\space\text{cm}^{3} \)

Answer:

\(56.52\space\text{cm}^{3}\) (the third option)