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Spaghetti sauce comes in large and small cylindrical cans. The larger can has a radius and height that are both three times longer than the radius and height of the smaller can. If the volume of the smaller can is 35.28 in3, what is the volume of the larger can?

A. 211.68 in3
B. 317.52 in3
C. 105.84 in3
D. 952.56 in3

Respuesta :

irspow
Let S and L be the volumes of the smaller and larger cans respectively...

The volume of a cylinder is:  V=hπr^2 so

S=hπr^2  and we are told that the larger can's dimensions are 3h and 3r respectively so:

L=(3h)π(3r)^2

L=3hπ(9r^2)

L=27hπr^2

Then S/L is:

S/L=(hπr^2)/(27hπr^2)

S/L=1/27 so we can say that:

L=27S, we are told that the volume of the smaller can is 35.28 in^3 so

L=27(35.28) in^3

L=952.56 in^3
vtapert16

Answer:

V=952.56 in³

Step-by-step explanation:

APEX

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