Question

Six marbles having equal radii are placed by
touching one another as shown in the figure. The
volume of each marble is 9π/2
cm cube. Find the
distance from P to Q.​

Answer 1

Dear Student,

◆ Answer -

15 cm

● Explanation -

Let r be the radius of the marble.

Volume = 4/3 πr^3

9π/2 = 4/3 πr^3

r^3 = 27/8

r = 3/2 cm

Distance between centres of first and last marble is -

Distance = 5 × diameter

Distance = 5 × 2 × 3/2

Distance = 15 cm

Hence, answer is 15 cm.

Thanks dear. Hope this helps you..