A cylinderical vessel of radius 15 cm and height 32 cm is filled with Rasna. The Rasna is filled in small cylinderical glasses of radius 3 cm upto height 8 cm and sold for Rs. 12 each. How much money the person receives by selling Rasna
Answers
Given data : A cylinderical vessel of radius 15 cm and height 32 cm is filled with Rasna. The Rasna is filled in small cylinderical glasses of radius 3 cm upto height 8 cm and sold for Rs 12 each.
To find : How much money the person receives by selling Rasna ?
Solution : according to given data,
⟹ Radius of cylindrical vessel = 15 cm
⟹ Height of cylindrical vessel = 32 cm
⟹ Radius of cylindrical glasses = 3 cm
⟹ Height of cylindrical glasses = 8 cm
⟹ Selling price of each glass of rasna = Rs 12
Firstly, we have to find out, the volume of cylindrical vesse
⟹ volume of cylindrical vessel = πr²h
{where, r is radius and h is height}
⟹ volume of cylindrical vessel = 22/7 * 15² * 32
⟹ volume of cylindrical vessel = 22/7 * 30 * 32
⟹ volume of cylindrical vessel = 22/7 * 960
⟹ volume of cylindrical vessel = 21120/7 cm³ ----{1}
Now,
⟹ volume of cylindrical glasses = πr²h
⟹ volume of cylindrical glasses = 22/7 * 3² * 8
⟹ volume of cylindrical glasses = 22/7 * 9 * 8
⟹ volume of cylindrical glasses = 22/7 * 72
⟹ volume of cylindrical glasses = 1584/7 cm³ ----{2}
Now, from {1} and {2}
⟹ Quantity of rasna glasses sold = {21120/7}/{1584/7}
⟹ Quantity of rasna glasses sold = 21120/1584
⟹ Quantity of rasna glasses sold = 40/3
Now,
⟹ Received money from selling rasna
= Quantity of rasna glasses * Selling price of each glass
⟹ Received money from selling rasna
= 40/3 * 12
⟹ Received money from selling rasna
= 480/3
⟹ Received money from selling rasna
= Rs 160.
Answer : Money the person receives by selling Rasna is Rs 160.
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