Question

the diameter of a solid sphere is 6 cm It is melted and recast into a solid cylinder of height 4 cm find the radius of the cylinderl

Answer 1

volume of sphere =volume of cylinder

4/3 •πr3=πr2h
where,
r=6/2cm=3cm=0.03m. h=4cm=0.04m
now solve it yourself

Answer 2

Answer:

3 cm

Step-by-step explanation:

Diameter of Sphere = 6 cm

Radius of sphere = $\frac{6}{2}=3 cm$

Volume of sphere = $\frac{4}{3} \pi r^3$

Volume of sphere = $\frac{4}{3} \times \frac{22}{7} \times 3^3$

Height of cylinder = 4 cm

Radius of cylinder = r

Volume of cylinder = $\pi r^2 h=\frac{22}{7} \times r^2 \times 4$

We are given that It is melted and recast into a solid cylinder

So, volume remains same

So,$\frac{4}{3} \times \frac{22}{7} \times 3^3=\frac{22}{7} \times r^2 \times 4$

$r=3$

Hence the radius of cylinder is 3 cm