lhe given figure represents a solid consisting of a cylinder surmounted by a cone at one end and a hemisphere at the other. Find the volume of the solid.
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Step-by-step explanation:
Radius of cone =
radius of cylinder =
radius of hemisphere
=
r
=
3.5
c
m
height of cylinder,
h
=
6.5
c
m
height of cone,
h
′
=
12.6
−
6.5
=
6.1
c
m
Volume of Solid
=
Volume of cone
+
Volume of cylinder
+
Volume of hemisphere
=
1
3
π
r
2
h
′
+
π
r
2
h
+
2
3
π
r
3
=
π
r
2
(
1
3
h
′
+
h
+
2
3
r
)
=
22
7
×
3.5
×
3.5
(
1
3
×
6.1
+
6.5
+
2
3
×
3.5
)
=
22
×
0.5
×
3.5
1
(
2.033
+
6.5
+
2.333
)
=
38.5
(
2.033
+
6.5
+
2.333
)
=
38.5
×
10.866
=
418.35
c
m
3
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