Two cylindrical containers A and B have radius 10 cm and 7 cm respectively. Cylinder B
contains water to a depth of 15 cm and cylinder A is empty.
(a) Find in terms of Pi, the volume of water in cylinder B.
(b) All the water in cylinder B is poured into cylinder A. Find the water level in cylinder
Answers
Answer:
the answer of this question will be like this ...
(a) The volume of water in cylinder B in terms of pi is 735π.
(b) The water level in cylinder A is 7.35 cm.
Given,
radius of cylindrical container A, r = 10 cm
radius of cylindrical container B, r' = 7 cm
depth of water in container B, h' = 15 cm
To Find,
(a) Volume of water in cylinder B
(b) Height of same volume of water in cylinder A
Solution,
This problem could be solved using the following method.
We have been given two cylinders, cylinder A of radius 10 cm and cylinder B of radius 7 cm.
The cylinder B contains water to a depth of 15 cm.
⇒ height of water in cylinder B = 15 cm.
(a) Volume of water in cylinder B,
⇒ V' = π(r')²h'
⇒ V' = π(7)²(15)
⇒ V' = π × 49 × 15
⇒ V' = 735π
(b) Water level in cylinder A, h could be found out:
⇒ V = V'
⇒ πr²h = 735π
⇒ (10)²h = 735
⇒ (10)²h = 735
⇒ 100h = 735
⇒ h = 7.35
(a) The volume of water in cylinder B in terms of pi is 735π.
(b) The water level in cylinder A is 7.35 cm.
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