Question

How many ice cream cones can be filled from \[{\rm{10}}{\rm{.5 \,liters}}\] of ice cream, if one cone can be filled with \[{\rm{35ml}}\] if ice cream?

Answer 1

Hint: Here, in this question we have to find out the total number of cones which can be filled from \[{\rm{10}}{\rm{.5\, liters}}\] of ice cream. To find the total number of cones which can be filled, firstly we will convert the total amount of ice cream given in liters into milliliters (ml). Then we will divide the total amount of ice cream with the amount of ice cream required to fill one cone will give us the number of cone which can be filled from\[{\rm{10}}{\rm{.5 liters}}\] of ice cream.

Complete step-by-step answer:
Total amount of ice cream given \[{\rm{10}}{\rm{.5\, liters}}\]
First, we will convert the liters into milliliters.
As we know that 1 liter is equal to 1000 ml.
Therefore, total amount of ice cream in milliliters \[ = 10.5 \times 1000 = 10500{\rm{ ml}}\]
Amount of ice cream required to fill one cone \[ = 35{\rm{ml}}\]
Now, we will find the number of cones that can be filled.
Number of cones can be filled = total amount of ice cream/Amount of ice cream required to fill a cone
Number of cones can be filled \[ = \dfrac{{10500}}{{35}} = 300\]
Hence, 300 cones can be filled with \[{\rm{10}}{\rm{.5\, liters}}\] of ice cream.

Note: We know that a cone has a three-dimensional shape that tapers from a flat base to a point called the vertex. The surface area is the sum of all the areas of the faces of an object or shape. Volume is the amount of space occupied by an object in three-dimensional space. Volume is generally measured in cubic units.
The surface area of the cone\[ = \pi rl + \pi {r^2}\] where, r is the radius of the cone, l is the slant height of the cone and h is the height of the cone.
The volume of a cone \[ = \dfrac{{\pi {r^2}h}}{3}\] where r is the radius of the base of the cone and h is the height of the cone.