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From a spherical solid made of wood with...

From a spherical solid made of wood with radius 6 cm, a cube of maximum possible volume is cut. The side of the cube is :
लकड़ी के बने 6 cm त्रिज्या के एक ठोस से, अधिकतम संभावित परिमाण (वॉल्यूम) के एक घन को हटाया जाता है | घन की भुजा ज्ञात कीजिये|

A

`4 sqrt 3` cm

B

`3 sqrt 3` cm

C

`6 sqrt 3` cm

D

`2 sqrt 3` cm

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A cube of maximum possible volume is removed from a solif wooden sphere of radius 6 cm. The side of the cube is :

A solid sphere of brass with a radius 15 cm is drawn into a wire of diameter 6 mm. The length of the wire ( in cm ) is : 15 cm त्रिज्या वाले पीतल के एक ठोस गोले को 6 mm व्यास के तार में खिंचा जाता है | तार की लम्बाई (cm में) है:

The total surface area of a solid cube is 2400 cm^2 . The volume of the cube is: एक ठोस घन का कुल क्षेत्रफल 2400 cm^2 है। घन की आयतन है

2541 metallic sphere balls, each with a radius of 1 cm, are melted to form a cube. The total surface area of the cube ( in cm^2 ) in the nearest form will be : 2541 गोलाकार धातुमय गेंदों, जिनकी प्रत्येक की त्रिज्या 1 cm है, को पिघलाकर एक घन बनाया जाता है | घन का सम्पूर्ण पृष्ठ क्षेत्रफल (वर्ग cm^2 में) निकटतम रूप में होगा:

A right circular cylinder of maximum volume is cut out from a solid wooden cube. The material left is what percent of the volume (nearest to an integer) of the original cube ? एक ठोस लकड़ी के घन से अधिकतम आयतन वाला एक लम्ब वृत्तीय बेलन काटा जाता है | बची हुई सामग्री आरंभिक घन के आयतन (एक पूर्णाक के निकटतम ) का कितना प्रतिशत है ?

A solid cube of volume 13824 cm^3 is cut into 8 cubes of equal volumes. The ratio of the surface area of the original cube to the sum of the surface areas of three of the smaller cubes is : 13824 घन सेमी आयतन वाले एक ठोस घन को बराबर आयतन वाले आठ घनों में काटा जाता है| आरंभिक घन के पृष्ठ क्षेत्रफल तथा तीन छोटे घनों के पृष्ठ क्षेत्रफलों के योग का अनुपात क्या है ?

A solid lead sphere of radius 11cm is melted and recast into small solid of radius 2 cm each. How many maximum (in integer) of such sphere can be made? 11 सेमी की त्रिज्या का एक ठोस गोले को पिघलाया जाता है और प्रत्येक 2 सेमी त्रिज्या के छोटे गोले में पुनर्गठित किया जाता है। ऐसे कितने गोले (अधिकतम पूर्णाक) बनाए जा सकते हैं

In a circle of radius 13 cm , a chord is at a distance of 12 cm from the centre of the circle. What is the length of the chord? 13 सेमी त्रिज्या वाले एक वृत्त में, वृत्त के केंद्र से 12 सेमी की दूरी पर एक जीवा है | जीवा की लंबाई ज्ञात करें |

In a circle of radius 17 cm, a chord is at a distance of 15 cm from the centre of the circle. What is the length of the chord? 17 सेमी त्रिज्या वाले एक वृत्त में, वृत्त के केंद्र से 15 सेमी की टूरी पर एक जीवा है| जीवा की लंबाई ज्ञात करें |

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