Question

PLSS NEED HELP!!!!

Paper cups at a water cooler have the approximate shape of a cone with a diameter of 8 cm and a height of 9.5 cm

What is the best approximation for the volume of the paper cup?

79.6 cm³

159.2 cm³

477.5 cm³

636.7 cm³

Answer 1

Its B trust i took the test and got it right 

Answer 2

Answer:   $159.2\ cm^3$

Step-by-step explanation:

The volume of cone is given by :-

$\text{Volume}=\frac{1}{3}\pi r^2h$

Given: The diameter of paper cups = 8 cm

Thus, the radius of paper cup (r)=$\frac{8}{2}=4\ cm$

The height of paper cup (h)= 9.5 cm

Now, the volume of paper cup will be :-

$\text{Volume}=\frac{1}{3}\pi (4)^2(9.5)\\\\\Rightarrow\text{Volume}=\frac{1}{3}(3.14159265359)\times(16)(9.5)=159.174027782\approx159.3\ cm^3$

Hence, the  best approximation for the volume of the paper cup $159.2\ cm^3$