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Answer 1

Explanation:

Given:

Radius (r

1

) of hemisphere =4.2 cm

Radius (r

2

) of cylinder =6 cm

Height (h) = ?

The object fromed by recasting the hemisphere will be same in volume.

So, Volume of sphere = Volume of cylinder

3

4

πr

1

3

=πr

2

2

h

⟹

3

4

π×(4.2)

3

=π(6)

2

h

⟹

3

4

×

36

4.2×4.2×4.2

=h

h=(1.4)

3

=2.74 cm

Therefore, the height of cylinder so formed will be 2.74 cm.

Answer 2

Explanation:

Given that

Radius of sphere =4.2cm

and Radius of cylinder=6cm

so when one object recast into another object their volume will remain same.

therefore,

volume of sphere=volume of cylinder

4/3πr³=πR²h

4/3×r³=R²h {π will cancel out }

4/3×4.2×4.2×4.2=6×6×h

4/3×0.7×0.7×4.2=h

h=8.232/3

h=2.74

Hence the height of cylinder is 2.74