Respuesta :
(i) 175 [tex]in^{3}[/tex]
(ii) option A - the average age of the trees in the forest
Step-by-step explanation:
Step 1 :
Cross sectional area of a cylindrical can = π * r² = π * 5² = 25π sq inches [Given radius = 5 inches ]
Step 2 :
Given rectangular prism has the same cross-sectional area, the cross sectional area of the prism = 25π sq inches
Given the height of the rectangular prism is same as that of the cylindrical can, the height of the prism is also 7 inches.
Step 3 :
Volume of the prism = Cross sectional area * height
= 25π * 7 [from step 1 and 2]
= 175 [tex]in^{3}[/tex]
Second question
Step 1 :
The volume of wood that can be expected is equal to the volume of an average tree * the average number of trees per acre * number of acres.
The volume of the tree is determined by the dimensions of the tree .
We know that The volume of the tree does not depend on the age of the tree.
Hence the answer is option A - average age of the trees in the forest
