Questions: Calculate the volume of the ice cream cone having a radius of 3.1 cm and height of the cone as 6 cm π The volume of the ice cream cone is π cubic cm.

Solution Steps

To calculate the volume of an ice cream cone, we need to use the formula for the volume of a cone, which is given by:

\[ V = \frac{1}{3} \pi r^2 h \]

where \( r \) is the radius and \( h \) is the height of the cone. Given the radius \( r = 3.1 \) cm and height \( h = 6 \) cm, we can substitute these values into the formula to find the volume.

To find the volume \( V \) of the ice cream cone, we use the formula:

\[ V = \frac{1}{3} \pi r^2 h \]

Substituting the given values \( r = 3.1 \) cm and \( h = 6 \) cm into the formula:

\[ V = \frac{1}{3} \pi (3.1)^2 (6) \]

Calculating \( (3.1)^2 \):

\[ (3.1)^2 = 9.61 \]

Now substituting back into the volume formula:

\[ V = \frac{1}{3} \pi (9.61)(6) \]

Calculating \( 9.61 \times 6 \):

\[ 9.61 \times 6 = 57.66 \]

Thus, the volume becomes:

\[ V = \frac{1}{3} \pi (57.66) \]

Now, we simplify the expression for the volume:

\[ V = \frac{57.66}{3} \pi = 19.22 \pi \]

Final Answer