Volume of Sphere
The value of K is 1820
Step-by-step explanation:
Given the radius of plum R1 = 2 cm
Given the radius of watermelon R2 = 8 cm
Suppose the radius of the glass sphere be R
For the radius R to be minimum so as to contain both the plum and watermelon
R has to be equal to the sum of the 2 individual radii
that is R = R1 + R2
Accordingly the radius R = 2 + 8 = 10 cm
Volume of plum = × × 2³
= ×
Volume of watermelon
= ×
Volume of glass sphere = × × R³
= ×
So now the volume remaining inside the glass sphere = volume of glass sphere –( volume of plum + volume of watermelon)
==> K × = ×
==> K × = ×
So K = 1820
Hence the value of K is 1820