Question

this is a bowling ball return system the length of the stand is such that it can accommodate 5 bowling balls in a row these ball are placed in two parallel rows touching each other what should be the length of the state if each bowling ball has a volume or 243π ÷2 cm³no​

Answer 1

Answer:

this is a bowling ball return system the length of the stand is such that it can accommodate 5 bowling balls in a row these ball are placed in two parallel rows touching each other what should be the length of the state if each bowling ball has a volume or 243π ÷2 cm³no

Answer 2

Given,

2 bowling ball rows.

Each row can accommodate 5 bowling balls.

The volume of each ball = 243π/2 $cm^{3}$

To find,

The length of the state.

Solution,

We know that the volume of a sphere is, V=4/3π$r^3$.

Putting the value of the volume of the given sphere,

4/3π$r^3$ =  243π/2

⇒ $r^3$ = 243×3/2×4

⇒ $r^3$ = 9/2 = 4.5 cm

since the number of balls, each row can accommodate is 5 and the number  of rows is 2,

the number length of the state = radius of ball × 5 × 2

                                                   = 4.5 × 10

                                                   = 45 cm

∴ The length of the state should be 45 cm.