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Byju's Answer
Standard X
Mathematics
Volume of Combined Solids
A test tube h...
Question
A test tube has radius 2.1 cm and height 16.1 cm. Volume of the test tube is
.
A
324
c
m
3
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B
213.4
c
m
3
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C
516
c
m
3
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D
981
c
m
3
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Solution
The correct option is
B
213.4
c
m
3
A test tube has a cylindrical shape with a hemispherical base.
Given: Radius of the hemisphere = 2.1 cm
Height of the test tube = 16.1 cm
⇒
Height of the cylinder
= 16.1 - 2.1 = 14 cm
Volume of the test tube
= Volume of hemisphere + Volume of cylinder
Volume of hemisphere =
2
3
π
r
3
=
2
3
×
22
7
×
21
10
×
21
10
×
21
10
=
2
×
22
×
21
×
21
1000
=
19.404
c
m
3
Volume of cylinder =
π
r
2
h
=
22
7
×
21
10
×
21
10
×
14
=
22
×
3
×
21
×
14
100
=
194.04
c
m
3
Now, volume of test tube
=
19.404
c
m
3
+
194.04
c
m
3
=
213.44
c
m
3
∴
Volume of the test tube is
213.44
c
m
3
.
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Similar questions
Q.
A test tube has radius 2.1 cm and height 16.1 cm. Volume of the test tube is
.
Q.
A test tube has diameter 20 mm and height is 15 cm. The lower portion is a hemisphere. Find the capacity of the test tube. (
π
=
3
.
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)