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Volume And Surface Area Of Solids | Volume And Surface Area Of Solids Exercise 15D

Question 23

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.

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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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Question 23

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.

Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

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.

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta
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