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RS Aggarwal Solutions Class 9 Mathematics Solutions for Volume And Surface Area Of Solids Exercise 15D in Chapter 15 - Volume And Surface Area Of Solids
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A hollow spherical shell is made of a metal of density 4.5g per cm3. If its internal and external radii are 8cm and 9cm respectively, find the weight of the shell.
Answer:
ANSWER:
It is given that
Internal radius of the spherical shell = 8cm
External radius of the spherical shell = 9cm
Density of metal = 4.5g per cm3
We know that
Weight of shell = 4/3 π [R3 - r3] × Density
By substituting the values
Weight of shell = 4/3 × (22/7) × [93 - 83] × (4.5/1000)
On further calculation
Weight of shell = 4/3 × (22/7) × [729 - 512] × (4.5/1000)
So we get
Weight of shell = 4/3 × (22/7) × 217 × (4.5/1000)
We get
Weight of shell = 4.092kg
Therefore, the weight of the shell is 4.092kg.
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