Question

how many lead balls is of radius 1 cm can be made from a sphere of radius 8 cm

Answer 1

Answer: 512 lead balls can be made

Step-by-step explanation:

Refer to the image for explanation.

Answer 2

✦QUESTION

how many lead balls is of radius 1 cm can be made from a sphere of radius 8 cm.


✦FORMULA USED


$volume \: \: of \: ball = \frac{4}{3} \times \pi \: \: \times {r}^{3}$




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


ball in shape of Sphere.




✦ANSWER.



GIVEN☞

Radius of balls = 1cm

Radius of Sphere=8cm



$volume \: \: of \: \: ball \: = \frac{4}{3} \pi {r}^{3}$



$volume \: of \: \: ball \: = \frac{4}{3} \pi {(1)}^{3}$


$= \frac{4}{3} \times \frac{22}{7} \times 1 \times 1 \times 1$



$= \frac{4}{3} \times \frac{22}{7}$



$\frac{88}{21} {cm}^{2}$




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






$volume \: of \: \: sphere \: = \frac{4}{3} \pi {(8)}^{3}$





$= \frac{4}{3} \times \frac{22}{7} \times 8 \times 8 \times 8$




$\frac{45056}{21} {cm}^{2}$





NUMBER OF BALL FORM✍



$= \frac{volume \: of \: SPHERE \: }{volume \: of \: ball}$





$\frac{ \frac{45056}{21} }{ \frac{88}{21} }$




$= \frac{45056}{88}$




$512 \: \: ans$



✦HENCE ✍

512 BALLS ARE FORMED FROM LEAD SPHERE .