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Anna35 [415]
2 years ago
15

12. 100 = 10 = 1 13. 10 x 100 The unknown is

Mathematics
1 answer:
ELEN [110]2 years ago
8 0
You’re mom shejwjsjxjsksidjkwkw
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If the volume of a sphere is equal to the volume of a cube, what is the ratio of the edge of the cube to the radius of the spher
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Answer: The answer is (C) 1.61.

Step-by-step explanation: Given that the volume of a sphere is equal to the volume of a cube. We are to find the ratio of the edge of the cube to the radius of the sphere.

Let, 'r' be the radius of the sphere and 'e' be the edge of the cube. Then, the volume of the sphere is given by

V_s=\dfrac{4}{3}\pi r^3,

and the volume of the cube is

V_c=e^3.

According to the question, we have

V_s=V_e\\\\\Rightarrow \dfrac{4}{3}\pi r^3=e^3\\\\\\\Rightarrow \dfrac{4}{3}\times\dfrac{22}{7}r^3=e^3\\\\\\\Rightarrow 88r^3=21e^3\\\\\Rightarrow 4.44r=2.75e\\\\\Rightarrow \dfrac{e}{r}=\dfrac{4.44}{2.75}\\\\\Rightarrow e:r=1.61.

Thus, the correct option is (C) 1.61.

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This is because the other answer choice is a binomial and not a trinomial (which contains three terms). A term is always separated by - or + signs.
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