the dustbin in the shape of a frustum of a cone the diameter of its circular ends are 20 cm and 40 cm if the vertical height of the dustbin is 66 cm find the capacity of the dustbin
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Answer:
ANSWER
Given r
1
=15cm, r
2
=8cm, h=63cm
Volume of the dustbin (frustum)=
3
1
πh(r
1
2
+r
2
2
+r
1
r
2
)
=
3
1
×
7
22
×63(15
2
+8
2
+15×8)
=
3
1
×
7
22
×63(225+64+120)
=66×409=26,994
∴ Volume of the dustbin=26,994cm
3
.
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