SOLUTION: A rectangular solid is 4 inches long, 5 inches high and 7 inches wide is inscribed in a sphere . What is the radius of this sphere? A 4.74 in B 5.66 in C 7.29 in D 9.49

Algebra ->  Bodies-in-space -> SOLUTION: A rectangular solid is 4 inches long, 5 inches high and 7 inches wide is inscribed in a sphere . What is the radius of this sphere? A 4.74 in B 5.66 in C 7.29 in D 9.49       Log On


   



Question 355102: A rectangular solid is 4 inches long, 5 inches high and 7 inches wide is inscribed in a sphere . What is the radius of this sphere?
A 4.74 in B 5.66 in C 7.29 in D 9.49 in

Answer by Alan3354(69443) About Me  (Show Source):
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A rectangular solid is 4 inches long, 5 inches high and 7 inches wide is inscribed in a sphere . What is the radius of this sphere?
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The diameter is the diagonal of the solid.
d+=+sqrt%284%5E2+%2B+5%5E2+%2B+7%5E2%29+=+sqrt%2890%29
d =~ 9.4868 in
r =~ 4.74 in