Question

A hemispherical tank is made up of an iron sheet 1cm thick.If the inner radius is 1m,find the volume of the iron used to make the tank.

Answer 1

Answer:

63487.81 cm³

Step-by-step explanation:

Find the outer radius:

Outer radius = 1 m + 1 cm  

Outer radius = 100 cm + 1 cm

Outer radius = 101 cm

Find the volume of the iron:

Volume = 2/3 π(r1³ -r2³)

Volume = 2/3 π(101³ -100³)

Volume = 63487.81 cm³ (or 0.06 m³)

Answer:  63487.81 cm³

Answer 2

Answer:0.06348 ³cm

Step-by-step explanation: Inner radius = r₁ = 1 m

outer radius = r₂ = 1 m + 1 cm

                           = 1m + 1 /100 m

                            =1.01 m

Volume of iron used = Volume of outer hemisphere - volume of inner hemisphere

=2/3πr₂³- 2/3 πr₁³

=2/3 π ( r₂³ - r₁³)

=2/3 × 22/7 ×{ ( 1.01)³ - (1)³}

=44/21 ( 1.030301 -1)

=44/21 × 0.030301

=0.06348 m ³