Question

An office uses paper drinking cups in the shape of a cone, with dimensions as shown-22, in,4 inTo the nearest tenth of a cubic inch, what is the volume of each drinking cup?A. 2.5B. 7.9C. 23.7D. 31.7

Answer 1

Given:

The height of the cone, h=4 in.

The diameter of the base of the cone, D=2 3/4 in.

The radius of the cone is,

`\begin{gathered} r=(D)/(2) \\ =(2(3)/(4))/(2) \\ =((2*4+3)/(4))/(2) \\ =((8+3)/(4))/(2) \\ =((11)/(2))/(4) \\ =(11)/(2*4) \\ =(11)/(8)in \end{gathered}`

Now, the volume of the drinking cup in the shape of the cone is,

`\begin{gathered} V=(1)/(3)\pi r^2h \\ =(1)/(3)\pi*((11)/(8))^{2^{}}*4 \\ =7.9in^3 \end{gathered}`

Therefore, the volume of the drinking cup in the shape of the cone is 7.9 cu in.

Hence, option B is correct.