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RS Aggarwal Solutions Class 9 Mathematics Solutions for Volume And Surface Area Of Solids Exercise 15C in Chapter 15 - Volume And Surface Area Of Solids
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A cloth having an area of 165 m2 is shaped into the form of a conical tent of radius 5m.
Find the volume of the cone.
Answer:
ANSWER:
We know that
Curved surface area of the tent = area of the cloth = 165 m2
So we get
Πrl = 165
By substituting the values
(22/7) × 5 × l = 165
On further calculation
l = (165 × 7)/ (22 × 5) = 21/2 m
We know that
h = √ (l2 - r2)
By substituting the values
h = √ ((21/2)2 - 52)
On further calculation
h = √ ((441/4) – 25) = √ (341/4)
So we get
h = 9.23m
We know that
Volume of the tent = 1/3 πr2h
By substituting the values
Volume of the tent = 1/3 × (22/7) × 52 × 9.23
On further calculation
Volume of the tent = 241.7 m3
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