Cylinder A has a volume of 360 cm3. Cylinder B has a base and height identical to that of cylinder B, but leans to the right in such a way that its slant length is greater by 4 cm. What is the volume of cylinder B?
A.
V = 270 cm3
B.
V = 360 cm3
C.
V = 480 cm3
D.
V = 600 cm3
Answers
Answer:
B.
V=360cm3.
This is the answer.
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By definition an oblique (or slanted, or tilted) cylinder has the same volume as a right cylinder of the same base and height. Thus the Volume of Cylinder B doesn't depend on the "lean" and is the same as Cylinder 'A'; 360 cu.cm.
Cylinder A has a volume of 360 cm3. Cylinder B has a base and height identical to that of cylinder B, but leans to the right in such a way that its slant length is greater by 4 cm.
Volume of the cylinder = πr²h
So, from the formula, we can state that, the volume of cylinder depends only on the radius of the base and height of the cylinder and not the slant height.
Therefore, from given, we have,
Volume of cylinder A = 360 cm³
base of cylinder A = base of cylinder B
⇒ rA = rB
height of cylinder A = height of cylinder B
⇒ hA = hB
as, V = πr²h
VA = πrA²hA
VB = πrB²hB
Therefore, we have,
πrA²hA = πrB²hB
as, rA = rB and hA = hB
Therefore, the volume of cylinder B = 360 cm³
Option B is correct.