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Mathematics 14 Online
OpenStudy (anonymous):

medal and fan to the best answer

OpenStudy (anonymous):

The volume of a cylinder is 24 ft3. The volume of a cube is 54 ft3. What is the difference between the volume of a cone that fits exactly inside the cylinder and the volume of a pyramid that fits exactly inside the cube? Provide an explanation for your answer to receive full credit.

OpenStudy (anonymous):

@ganeshie8 @Abhisar @Ashleyisakitty @Callisto

OpenStudy (anonymous):

?????

OpenStudy (anonymous):

@freckles

OpenStudy (anonymous):

@sammixboo

OpenStudy (anonymous):

The volume of a cylinder is pi*r^2*h The volume of a cone is pi*r^2*h/3 We know that r^2 and h will be the same if the cone fits exactly inside the cylinder, so we get that the volume of the cone is 1/3 the volume of the cylinder, so we get 8. The volume of a pyramid is lwh/3 The volume of a cube is n^3. Since the pyramid fits perfectly inside the cube, it means that it l = n, w = n, h = n, so the volume is now n^3/3 Now that we know the pyramid is 1/3 the size of the cube, so we get: 54/3 = 18. abs(8-18) = 10 10 ft^3

OpenStudy (anonymous):

wow

OpenStudy (anonymous):

*edit: r^2 in line 3 should be r

OpenStudy (anonymous):

thank you so much !!!!!!!!!!!!!!

OpenStudy (anonymous):

so instead of r^2 ... put r

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