
Right circular cylinder having diameter $12cm$ and height $15cm$ is full ice-cream. The ice-cream is to be filled in cones of height $12cm$ and diameter $6cm$ having a hemispherical shape on top. Find the number of such cones which can be filled with ice-cream.

Answer
515.7k+ views
Hint: To find the number of cones, first we will find the volume of the circular cylinder and divide it with the volume of one ice-cream cone.
So,
Number of cones volume of the circular cylinder ÷ volume of one ice-cream cone
= $\dfrac{{\pi \times 6 \times 6 \times 15}}{{\dfrac{1}{3} \times \pi \times 3 \times 3 \times 12 + \dfrac{{2\pi }}{3} \times {3^2}}} = \dfrac{{\pi \times 36 \times 15}}{{\dfrac{\pi }{3} \times \left( {108 + 54} \right)}} = 10$
Answer $10$ cones
Note: In these questions, make sure you take the volume of the entities and not the area or perimeter.
Remembering the volume formulas is often helpful.
So,
Number of cones volume of the circular cylinder ÷ volume of one ice-cream cone
= $\dfrac{{\pi \times 6 \times 6 \times 15}}{{\dfrac{1}{3} \times \pi \times 3 \times 3 \times 12 + \dfrac{{2\pi }}{3} \times {3^2}}} = \dfrac{{\pi \times 36 \times 15}}{{\dfrac{\pi }{3} \times \left( {108 + 54} \right)}} = 10$
Answer $10$ cones
Note: In these questions, make sure you take the volume of the entities and not the area or perimeter.
Remembering the volume formulas is often helpful.
Recently Updated Pages
What percentage of the area in India is covered by class 10 social science CBSE

The area of a 6m wide road outside a garden in all class 10 maths CBSE

What is the electric flux through a cube of side 1 class 10 physics CBSE

If one root of x2 x k 0 maybe the square of the other class 10 maths CBSE

The radius and height of a cylinder are in the ratio class 10 maths CBSE

An almirah is sold for 5400 Rs after allowing a discount class 10 maths CBSE

Trending doubts
What did the military generals do How did their attitude class 10 english CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

For Frost what do fire and ice stand for Here are some class 10 english CBSE

Why is there a time difference of about 5 hours between class 10 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE
