Question

How much ice cream can be out in a cone of radius $3.5cm$ and height $12cm$?

Answer 1

Hint: As we have to put the ice cream in a cone so we will find the volume of the cone. In this type of question in which capacity is asked then we have to find the volume always because the volume is the capacity of that particular shape. To find volume always where capacity is asked according to the given dimensions.

Complete Step-by-step Solution
Given: A shape is given that is a shape of a cone. The radius and height of a cone are also given that is $3.5cm$ and $12cm$ respectively. So we have to find the volume of the cone.

The formula we will use here is the formula of the cone.
Volume of cone $ = $$\dfrac{1}{3}\pi {r^2}h$, where $\pi = 3.14$and $r$ is radius of cone and $h$ is the height of the cone and radius and height of a cone is also given that is $3.5cm$ and $12cm$ respectively.
Hence, volume of cone $ = \dfrac{1}{3} \times 3.14 \times {(3.5)^2} \times 12$
$
   = 3.14 \times 12.25 \times 4 \\
   = 153.86c{m^3} \\
$
As the volume of the cone is $153.86c{m^3}$ therefore $153.86c{m^3}$ of ice cream can be put in a cone of given dimensions.

Note:
In this type of question analyze the shape of the object given to know its capacity, whether it is a sphere of cuboids or cubical or cone look for volume formula. Find volume always where capacity is asked according to the given dimensions.