Q.11 Diameter of cylinder A is 7 cm, and the height is 14 cm. Diameter of cylinder B is 14 cin and
height is 7 cm. Whose volume is greater? Check whether the cylinder with greater volume also
has greater surface area?
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Answer:
for cylinder A
diameter-7cm
radius-7/2cm=3.5cm
height-14cm
Cylinder B
diameter-14cm
radius-14/2cm =7cm
height-7cm
now Volume of Cylinder A
V=πr×r×h
=22/7×3.5×3.5×14
=539cm3
Volume of cylinder B
V=πr×r×h
=22/7×7×7×7
=1078cm3
so the volume of cylinder B is greater than volume of cylinder A.
now
Surface area of Cylinder A
= 2πrh
=2×22/7×3.5×14
=308cm2
surface area of Cylinder B
=2πrh
=2×22/7×7×7
=308cm2
.so the surface area is same for cylinder A and B
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