Question

a company uses paper cups shaped like cones for its water cooler. each cup has a height of 15 cm, and the base has a radius of 5 cm. the cooler has 18,840 cm³ of water in it. how many cups can be filled from the cooler? use 3.14 for π, and do not round your answer.

Explanation:

Step1: Calculate volume of one cone - shaped cup

The volume formula for a cone is $V=\frac{1}{3}\pi r^{2}h$. Given $r = 5$ cm, $h=15$ cm and $\pi = 3.14$. Substitute these values into the formula:
$V=\frac{1}{3}\times3.14\times5^{2}\times15$
$V=\frac{1}{3}\times3.14\times25\times15$
$V = 3.14\times25\times5$
$V=392.5$ $cm^{3}$

Step2: Calculate number of cups

Divide the total volume of water in the cooler by the volume of one cup. The total volume of water in the cooler is $18840$ $cm^{3}$. Let $n$ be the number of cups. Then $n=\frac{18840}{392.5}$
$n = 48$

Answer:

48