A cone of radius 4 cm is divided into two parts by drawing a plane through the mid point of its
axis and parallel to its base. Compare the volumes of the two parts.
Answers
Answered by
1
Step-by-step explanation:
The radius of upper cone (R
1
)=
2
4
=2
Bottom radius =4 cm
Volume of upper cone (V
1
)=
3
1
πr
2
h
=
3
1
π×(2)
2
×(
2
h
)
Volume of upper cone(V
1
)=
3
2πh
cm
3
Vol of bottom frustum (V
2
)=
3
πh
(R
1
2
+R
2
2
+R
1
R
2
)
=
3
π(
2
h
)
(4+16+8)
=
3
π(
2
h
)
(28)
Vol of bottom frustum (V
2
)=
6
πh
(28)
V
2
V
1
=
6
πh
(28)
3
2πh
V
2
V
1
=
3
2πh
×
πh×28
6
V
2
V
1
=
7
1
Similar questions