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There is a wooden sphere of radius 6 sqr...

There is a wooden sphere of radius `6 sqrt3` cm. The surface area of the largest possible cube cut out from the sphere will be-
`6 sqrt3` सेमी त्रिज्या का लकंडी का एक गोलक है। गोलक से काट कर बनाए जाने वाले वृहत्तम संभव घन का पृष्ठीय क्षेत्रफल क्या होगा?

A

`864 cm^(2)`

B

`464sqrt(3) cm^(2)`

C

`462 cm^(2)`

D

`646sqrt(3) cm^(2)`

Text Solution

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The correct Answer is:
A
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The largest possible cube is made from a wooden sphere of radius 6sqrt(3) cm . Find the surface area of the cube.

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 sphere of radius 6 cm is melted and recast into sphere of radius 2 cm each. How many such spheres can be made? 6 सेमी त्रिज्या वाले एक गोले को पिघलाकर 2 सेमी त्रिज्या वाले गोले बनाए जाते हैं | ऐसे कितने गोले का निर्माण किया जा सकता है ?

A solid brass sphere of radius 2.1 dm is converted into a right, circular cylindrical rod of length 7cm. The ratio of total surface areas of the rod to the sphere is त्रिज्या 2.1 डेसीमीटर के एक ठोस पीतल के गोलक की 7 से.मी. लंबी एक वृंत्तीय बेलनाकार शलाका (रॉड) बनाई गईं। उसे शलाका तथा गोलक के कूल पृष्ठिय क्षेत्रफुल का अनुपात बताइए ।

The diameter of a sphere is twice the diameter of another sphere. The surface area of the first sphere is equal to the volume of the second sphere. The magnitude of the radius of the first sphere is एक गोलक का व्यास एक दूसरे गोलक के व्यास से दुगना है। पहले गोलक का पृष्ठीय क्षेत्रफल दूसरे गोलक के आयतन के बराबर है। पहले गोलक की त्रिज्या का आकार बताइए?

The curved surface area of a hemisphere with radius 7cm is: 7 सेमी त्रिज्या वाले एक अर्धगोले का वक्र पृष्ठ क्षेत्रफल कितना होगा ?

A solid metallic sphere of radius 15cm melted and recast into spherical balls of radius 3 cm each. What is the ratio of the surface area of the original and the sum of the surface area of the balls? 15 सेमी त्रिज्या का एक ठौस धात्विक क्षेत्र को पिघला कर त्रिज्या 3 सेमी के प्रत्येक गोलाकार गेंद बनाई जाती है । मूल सतह के क्षेत्रफल और गेंदों के सतह क्षेत्र के योग का अनुपात क्या है?

5 cubes, each of edge 4cm, are joined end to end. What is the total surface area of resulting cuboid? 5 घन, जिनमें से प्रत्येक का किनारा 4 सेमी का है, को एक के बाद एक जोड़ा जाता है | इस प्रकार बनने वाले घनाभ का कुल पृष्ठ क्षेत्रफल क्या होगा ?

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