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Mathematics 21 Online
OpenStudy (anonymous):

please help me. In a frustum of a right square pyramid each side of the lower base is 22m, and the slant height is 13 m. find the volume of the sphere that can be inscribed in the frustum with a minimum volume given that the sphere is tangent to the bases of the frustum.

OpenStudy (anonymous):

@perl @dan815

OpenStudy (anonymous):

@amistre64 @Loser66

OpenStudy (anonymous):

@jim_thompson5910

OpenStudy (anonymous):

@TheSmartOne

jimthompson5910 (jim_thompson5910):

does it provide an image of the frustum?

OpenStudy (anonymous):

nope

jimthompson5910 (jim_thompson5910):

ok I'm a bit stuck, but I'll keep thinking

OpenStudy (anonymous):

can you help me here first. A sphere is inscribed in a rectangular solid 5 cm in length, 4 cm in width and 3 cm in height. Another sphere of the same volume also inscribed in a cube. Find the volume of a cube .

OpenStudy (anonymous):

d =sqrt of l^2+w^2+h^2

OpenStudy (anonymous):

i got 7.07

jimthompson5910 (jim_thompson5910):

I think the sphere will be inscribed in a cube that has the same dimensions as the smallest length of the rectangular solid

OpenStudy (anonymous):

so the side of the cube is 3?

OpenStudy (anonymous):

so the volume must be 27 cm^3

jimthompson5910 (jim_thompson5910):

yes I think so

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