Question #f27cd

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Question #f27cd

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Answer 1 · 2018-03-01T20:25:55

See a solution process below:

Explanation:

Because we know Mishka has a height of 6 cm of broth left in the can, we know she used:

$10 cm - 6 cm = 4 cm$ $10"cm" - 6"cm" = 4"cm"$ of brother from the height perspective.

We can now use this information and the radius given in the problem to determine how much broth Mishka used by using the formula for the volume of a cylinder which is:

$V = π r^{2} h$ $V = pir^2h$

Substituting the radius from the problem and height used we calculated gives:

$V = π \times {(10 cm)}^{2} \times 4 cm$ $V = pi xx (10"cm")^2 xx 4"cm"$

$V = π \times 100 {cm}^{2} \times 4 cm$ $V = pi xx 100"cm"^2 xx 4"cm"$

$V = π \times 400 {cm}^{3}$ $V = pi xx 400"cm"^3$

We can estimate $π$ $pi$ as $3.14$ $3.14$ :

$V = 3.14 \times 400 {cm}^{3}$ $V = 3.14 xx 400"cm"^3$

$V = 1256 {cm}^{3}$ $V = 1256"cm"^3$

Mishka used 1,256 cubic centimeters of broth.

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Question #f27cd

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