A right circular cylindrical flask has outer diameter 6 cm and inner diameter as 5 cm. and height without a lid is 28cm. A lid of the flask is of height 5cm with the same radius so as to give the flask a shape of right circular cylinder. a. Find the capacity of the flask (the lid does not hold water.) b. Find amount of paper needed to wrap it for gifting.
Answers
Answer:
Step-by-step explanation:
Given,
Radius of the spherical ball = 3 cm
We know that,
The volume of the sphere = 4/3 πr3
So, it’s volume (V) = 4/3 πr3
That the ball is melted and recast into 3 spherical balls.
Volume (V1) of first ball = 4/3 π 1.53
Volume (V2) of second ball = 4/3 π23
Let the radius of the third ball = r cm
Volume of third ball (V3) = 4/3 πr3
Volume of the spherical ball is equal to the volume of the 3 small spherical balls.
R D Sharma Solutions For Class 10 Maths Chapter 16 Surface Areas And Volumes ex 16.1 - 1
Now,
Cancelling out the common part from both sides of the equation we get,
(3)3 = (2)3 + (1.5)3 + r3
r3 = 33– 23– 1.53 cm3
r3 = 15.6 cm3
r = (15.6)1/3 cm
r = 2.5 cm
As diameter = 2 x radius = 2 x 2.5 cm
= 5.0 cm.
Thus, the diameter of the third ball is 5 cm
Answer:
Step-by-step explanation:
Vijay Nagar D-5
Civil Ward – 6
Jabera (MP)
Jan.25, 2015
To
The Administrator
Municipal Corporation Office
Jabera (MP)
Subject – Regarding better water supply
Respected Sir,
With due respect, I beg to say that I live in Vijay Nagar D-5 in Civil Ward – 6. It is a thickly populated area. Being a industry locality, it is also famous area in our city. But the water supply in our locality is not regular. It is made one time in two days and for a short time. Sometimes the water supply is not made for three days continuously. Other resources of water are not in well condition here. There are only two Hand Pumps in our locality. They are either in bad condition or out of control. They supply very little water after the hard labor. It is not enough for the people of this locality. Even the wells in our locality are dry. People cannot get water from them enough to fulfill their needs. Because of this people have to fetch water from a long distance. They spend a lot of time in bringing water. This affects in their daily work. The time which they have to spend on their necessary work has to spend on bringing water.
Therefore I request the concerning authorities to look into the matter seriously and take necessary steps for solving the problem. So the water supply may kindly be made daily in our locality. People may get rid of the problem of poor water supply.
I shall be highly obliged to you.
Thanking you sir,
Yours Faithfully