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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

Respuesta :

calculista

Answer:

Part 1) Option B.  175π in3

Part 2) Option A . the average age of the trees in the forest

Step-by-step explanation:

Part 1) we know that

The volume of the prism is equal to

[tex]V=Bh[/tex]

where

B is the area of the base of the prism

h is the height of the prism

In this problem

A rectangular prism has the same cross-sectional area and height as the can

so

[tex]h=7\ in[/tex]

[tex]B=\pi (5^2)=25\pi\ in^2[/tex]

substitute

[tex]V=(25\pi)(7)=175\pi\ in^3[/tex]

Part 2)    

I think the least useful option to determine the volume of wood the lumber can expect would be option A

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