Question

a popular ice cream shop wants to introduce a new waffle cone to their menu. the cone will have a base with a diameter of 6 cm and a height of 15 cm. how much ice cream will fit inside the cone? use the formula for the volume of a cone, ( v=\frac{1}{3}bh ), and use 3.14 for ( pi ). round the answer to the nearest tenth, if necessary. use the keypad to enter the answer in the box. ( v=square cm^{3} )

Explanation:

Step1: Find the radius

The diameter \(d = 6\) cm. The radius \(r=\frac{d}{2}=\frac{6}{2}=3\) cm.

Step2: Calculate the base area \(B\)

The base of the cone is a circle. The formula for the area of a circle is \(B=\pi r^{2}\). Substitute \(r = 3\) cm and \(\pi=3.14\). Then \(B = 3.14\times3^{2}=3.14\times9 = 28.26\) \(cm^{2}\).

Step3: Calculate the volume \(V\)

The formula for the volume of a cone is \(V=\frac{1}{3}Bh\). Substitute \(B = 28.26\) \(cm^{2}\) and \(h = 15\) cm.

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Answer:

\(141.3\)