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A sphere is inscribed in a cube. What is...

A sphere is inscribed in a cube. What is the ratio of the volume of the cube to the volume of the sphere?
एक गोले को किसी घन में डाला गया है | घन के आयतन तथा गोले के आयतन में अनुपात ज्ञात करें |

A

`6: pi`

B

`8: pi`

C

`11: 2 pi`

D

`9: 2 pi`

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The volume of a sphere is 36 pi cm^3 . What is the radius of the sphere? एक गोले का आयतन 36 pi घन सेमी है | इस गोले की त्रिज्या ज्ञात करें |

A square has been inscribed in a circle. What is the ratio of the length of a side of the square to the radius of the circle ? एक वर्ग किसी वृत्त के भीतर स्थित है | वर्ग की एक भुजा की लंबाई तथा वृत्त की त्रिज्या में अनुपात ज्ञात करें |

The volume of a right circular cone is equal to that of a sphere, whose radius is half the radius of the base of the cone. What is the ratio of the radius of the base to the height of the cone ? एक लम्ब वृत्तीय शंकु का आयतन उस गोले के आयतन के बराबर है, जिसकी त्रिज्या शंकु के आधार की त्रिज्या से आधी है | शंकु के आधार की त्रिज्या और शंकु की ऊंचाई में क्या अनुपात है ?

A regular hexagon is inscribed in a circle. What is the ratio of the area of the circle to that of its portion not covered by the hexagon? एक सम षट्भुज को किसी वृत्त के भीतर रखा गया है | वृत्त के क्षेत्रफल और षट्भुज के द्वारा इसके नहीं घेरे गए हिस्से के क्षेत्रफल में अनुपात ज्ञात करें |

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A solid cube is cut into three cuboids of same volumes. What is the ratio of the surface area of the cube to the sum of the surface areas of any two of the cuboids so formed ? एक ठोस घन को समान आयतन वाले तीन घनाभों में काटा जाता है | घन के पृष्ठ क्षेत्रफल तथा किसी भी दो घनाभ के पृष्ठ क्षेत्रफलों के जोड़ के बीच अनुपात ज्ञात करें |

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