Answer:
The total amount of soils that planter will hold to it is 590.45  inches³
Step-by-step explanation:
Given as :
The radius of the cone shape planter = r = 6.8 inches
The height of the cone shape planter = h = 12.2 inches
Let The total amount of soils that will hold to it = x cubic inches
Now, According to question
The total amount of soils that planter will hold to it = The volume of the cone
∵ The volume of cone = v =  r² h
 r² h
where r is the radius
And h is the height
So, The total amount of soils that planter will hold to it =   r² h
 r² h
or, x =  ×
 ×  × r² × h
 × r² × h
or, x =   × 3.14 × (6.8)² inches × 12.2 inches
 × 3.14 × (6.8)² inches × 12.2 inches
or, x =   × 3.14 × 564.128 inches³
 × 3.14 × 564.128 inches³
or, x =   × 1771.361  inches³
 × 1771.361  inches³
or, x =  inches³
  inches³
∴  x = 590.45  inches³
So, The total amount of soils that planter will hold to it = x = 590.45  inches³
Hence, The total amount of soils that planter will hold to it is 590.45  inches³   . Answer