Question

12 solid spheres of the same radii are made by melting a solid metallic

cylinder of base diameter 2cm and height 16cm. Find the diameter of the

each sphere.​

Answer 1

Answer:

2cm

Step-by-step explanation:

GIVEN:-

• 12 spheres(equal radii) are made from a cylinder of diameter is 2cm and height is 16cm.

NEED TO FIND:-

• Diameter of each sphere

SOLUTION:-

we know that,

we know that,volume of cylinder will equal to 12 times of volume of sphere.

$\pi {r}^{2} h = 12 \times \frac{4}{3} \pi {r}^{3}$

r(cylinder)=1cm

h(cylinder)=16cm

$\pi ({1})^{2}(16) = 12 \times \frac{4}{3} \pi {r}^{3}$

$16 = 4 \times 4 {r}^{3}$

${r}^{3} = \frac{16}{16}$

${r}^{3} = 1$

$r = \sqrt[3]{1}$

$r = 1$

diameter=2r

=2×1

=2cm

Answer 2

Answer:

answer is given below.............

Step-by-step explanation:

The diameter of sphere is 2cm.............

Hope it helps you.............