A lady makes tea for his family members and herself in a cylindrical vessel of radius 10.5 cm and height 10 cm. The volume of tea is 40 percent of the vessel's volume. If each one of the members of the family drinks 49 cm³ tea, then find the total number of members in the family.
Answers
Given : A lady makes tea for his family members and herself in a cylindrical vessel of radius 10.5 cm and height 10 cm.
The volume of tea is 40 percent of the vessel's volume.
each one of the members of the family drinks 49 cm³ tea,
To find : the total number of members in the family.
Solution:
Volume of a cylinder = πr²h
r = 10.5 cm
h = 10 cm
π = 22/7
Volume of the vessel = (22/7) (10.5)² * 10
= 3465 cm³
Tea inside vessel = (40/100) 3465 = 1,386 cm³
each one of the members of the family drinks 49 cm³
number of the members = 1,386/ 49
=> number of the members = 28.28
approx 28 members
if each member drinks 49π cm³
Then Volume of the vessel = π (10.5)² * 10 = 1102.5π cm³
Tea inside vessel = (40/100)1102.5π = 441π cm³
each one of the members of the family drinks 49π cm³
number of the members = 441π/ 49π = 9
Number of members in the family = 9
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