Question

6. A metallic sphere of radius 2.1 cm is melted and recast into the shape of a cylinder of
radius 3 cm. Find the height of the cylinder
​

Answer 1

Answer:

The height of cylinder is 1.372 cm.

Step-by-step explanation:

Since we have given that

Radius of sphere = 2.1 cm

It recast into the shape of a cylinder

Radius of cylinder = 3 cm

So, volume of cylinder = Volume of sphere

\begin{gathered}\dfrac{4}{3}\pi r_1^3=\pi r_2^2h\\\\\dfrac{4}{3}\times 2.1\times 2.1\times 2.1=3\times 3\times h\\\\4\times 0.7\times 2.1\times 2.1=9h\\\\\dfrac{4\times 0.7\times 2.1\times 2.1}{9}=h\\\\h=1.372\ cm\end{gathered}

3

4

πr

1

3

=πr

2

2

h

3

4

×2.1×2.1×2.1=3×3×h

4×0.7×2.1×2.1=9h

9

4×0.7×2.1×2.1

=h

h=1.372 cm

Hence, the height of cylinder is 1.372 cm.

# learn more:

A metallic sphere of radius 5.6cm is melted and recast into the shape of a cylinder cylinder of radius 6cm.find the height of the cylinder

Answer 2

Answer:

1.38 cm approx

Step-by-step explanation:

Vol. of sphere =Vol. of cylinder

4/3(πR³)= πr²H

4/3×π×2.1×2.1×2.1=π×3×3×H

Transposing π from L.H.S TO R.H.S AND 3×3 Ffrom R.H.S TO L.H.S.

4×2.1×2.1×2.1/3×3×3=πH/π

4×0.7×0.7×0.7=H

4×0.343=H

1.372=H

H= 1.38 cm approx.