2. Diameter of cylinder A is 7 cm and the height is 14 cm. Diameter of cylinder B is 14 cm and height is 7 cm
Without doing any calculations can you suggest whose volume is greater? Verify it by finding the volume of
(b) Number of cement bags required to plaster it.
(c) To find the number of smaller tanks that can be filled with water from it.
both the cylinders. Check whether the cylinder with greater volume also has greater surface area,
14 cm
17 cm
7 cm
14 cm
B
А
Answers
Volume of cylinder B is greater than that of cylinder A.
We use the formulae:
V=πr
2
h
S=2πr(r+h)
where,
V=volume of cylinder
S=surface are of cylinder
r= radius
h=height
Cylinder A:
V=πr
2
h⇒V=
7
22
×(
2
7
)
2
×14=540
S=2πr(r+h)⇒S=2×
7
22
×
2
7
×(
2
7
+14)=385
Cylinder B:
V=πr
2
h⇒V=
7
22
×(
2
14
)
2
×7=1078
S=2πr(r+h)⇒S=2×
7
22
×
2
14
×(
2
14
+7)=616
It's clear from the calculation, that, cylinder with greater volume has greater surface area, i.e, cylinder B.
Step-by-step explanation:
Volume of cylinder B is greater than that of cylinder A.
We use the formulae:
V=πr
2 h
S=2πr(r+h)
where,
V=volume of cylinder
S=surface are of cylinder
r= radius
h=height
Cylinder A:
V=πr 2 h⇒V= 722 ×( 27 ) 2 ×14=540
S=2πr(r+h)⇒S=2× 722 × 27 ×( 27 +14)=385
Cylinder B:
V=πr 2 h⇒V= 722 ×( 214 ) 2 ×7=1078
S=2πr(r+h)⇒S=2× 722 × 214 ×( 214 +7)=616
It's clear from the calculation, that, cylinder with greater volume has greater surface area, i.e, cylinder B.
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