Question

BRAINLIEST QUESTION

Answer 1

(i) 175 $in^{3}$

(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 $in^{3}$

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