Question

please answer this the radius and height of a metallic cylinder 4.2 centimetre and 5.6 CM respectively it is melted and mounted into a sphere find the radius of the sphere ​

Answer 1

Answer:

4.2 cm

Step-by-step explanation:

the volume of cylinder will be equal to volume of sphere

$\pi {r}^{2} h = \frac{4}{3} \pi {r}^{3} \\ {r}^{2} h = \frac{4}{3} {r}^{3} \\ {(4.2)}^{2} \times 5.6 = \frac{4}{3} {r}^{3} \\ {r}^{3} = \frac{4.2 \times 4.2 \times 5.6 \times 3}{4} \\ {r}^{3} = 4.2 \times 4.2 \times 1.4 \times 3 \\ {r}^{3} = 4.2 \times 4.2 \times 4.2 \\ {r}^{3} = {(4.2)}^{3} \\ r = 4.2$

the radius of the sphere = 4.2 cm

hope you get your answer