Question

The circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. What is the volume of the ice cream cone in cubic centimeters? ​

Answer 1

We have been given that the circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. We are asked to find the volume of the ice-cream cone.

We will use volume of cone formula to solve our given problem.

$V=\frac{1}{3}\pi r^2 h$, where

r = Radius of cone,

h = Height of cone.

We know that diameter is two times the radius, so radius will be half of diameter that is $r=\frac{7}{2}$.

$V=\frac{1}{3}\pi\cdot (\frac{7}{2})^2\cdot 10$

$V=\frac{1}{3}\pi\cdot (\frac{49}{4})\cdot 10$

$V=128.2817$

$V\approx 128.3$

Therefore, the volume of the cone would be approximately 128.3 cubic cm.