Question

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.)

Answer 1

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

$V=\dfrac{1}{3}\pi r^2h.$

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

$r=\dfrac{2}{2}\\\\\Rightarrow r=1~\textup{inch}.$

And, height, h = 5 inches.

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

$V\\\\\\=\dfrac{1}{3}\pi r^2h\\\\\\=\dfrac{1}{3}\times3.14\times 1^2\times5\\\\\\=\dfrac{1}{3}\times 15.7\\\\=5.23~\textup{sq. inches.}$

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

Answer 2

 The volume of the cone is 20.95in³