An ice cream cone has a diameter of 2 inches and a height of 5 inches. What is the volume of the ice cream cone? Round your answer to the nearest hundredth. (Use 3.14 for π.)

Question

asked Apr 12, 2018 58.9k views

2 Answers

Helt · Answer 1 · 2018-04-16T12:19:16+0000

Answer: The required volume of the ice-cream cone is 5.23 sq. inches.

Step-by-step explanation: Given that an ice cream cone has a diameter of 2 inches and a height of 5 inches.

We are to find the volume of the ice-cream cone.

The VOLUME of a cone with radius r units and height h units is given by

$V=(1)/(3)\pi r^2h.$

The diameter of the given ice-cream cone is 2 inches, so its radius will be

$r=(2)/(2)\\\\\Rightarrow r=1~\textup{inch}.$

And, height, h = 5 inches.

Therefore, the volume of the given ice-cream cone will be

$V\\\\\\=(1)/(3)\pi r^2h\\\\\\=(1)/(3)*3.14* 1^2*5\\\\\\=(1)/(3)* 15.7\\\\=5.23~\textup{sq. inches.}$

Thus, the required volume of the ice-cream cone is 5.23 sq. inches.