BRAINLIEST QUESTION

A cylindrical can has a radius of 5 inches and a height of 7 inches. A rectangular prism has the same cross-sectional area and height as the can. What is the volume of the prism?

A
175 in3

B
175π in3

C
350π in3

D
700π in3

A lumberyard is asked to cut down a portion of a forest in order to build a new school.

Which of the following would be least useful in determining the volume of wood that the lumberyard can expect?
A
the average age of the trees in the forest

B
the average number of trees per acre of forest

C
the dimensions of the average tree in the forest

D
the number of acres in the portion of the forest to be cut down

(i) 175

(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

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

step-by-step explanation:

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