Question

how many leadballs, each of radius 1cm,can be made from sphere of radius 8cm

Answer 1

radius of Sphere (R) = 8 cm
volume of the sphere (V) = 4/3 x 22/7 x R x R x R
V = 4/3 x 22/7 x 512

radius of lead balls (r) = 1 cm
the volume of one lead ball (v) = 4/3 x 22/7 x r x r x r
v = 4/3 x 22/7

Number of lead balls = V/v = 512

therefore, 512 lead balls can be made

Answer 2

numbers of lead balls= volume of sphere/Volume of lead balls= 4π/3×8×8×8/4π/3×1×1×1=512