Class 10 Exam  >  Class 10 Questions  >  , a pair and a cube have equal surface areas ... Start Learning for Free
, a pair and a cube have equal surface areas so that the ratio of the volume of a sphere to that of the cube is root 6 :root pie?
Most Upvoted Answer
, a pair and a cube have equal surface areas so that the ratio of the ...
Hiiii

Let r and a be the radius of the sphere and edge of the cube respectively.
Given, 
Surface area of sphere = Surface area of cube
4πr2 = 6a2
(r/a)2 = 3 / 2π
r / a = √(3/2π)
Volume of sphere / Volume of cube = (4/3)πr3 / a3 = (4π/3)(r/a)3
= (4π/3)(√(3/2π))3
= (4π/3)(3/2π)(√(3/2π))
= 2√(3/2π)
= √(4x3/2π)
= √(6/π)
Thus, Volume of sphere : Volume of cube = √6 : √π.

hope it help u.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
Explore Courses for Class 10 exam

Top Courses for Class 10

, a pair and a cube have equal surface areas so that the ratio of the volume of a sphere to that of the cube is root 6 :root pie?
Question Description
, a pair and a cube have equal surface areas so that the ratio of the volume of a sphere to that of the cube is root 6 :root pie? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about , a pair and a cube have equal surface areas so that the ratio of the volume of a sphere to that of the cube is root 6 :root pie? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for , a pair and a cube have equal surface areas so that the ratio of the volume of a sphere to that of the cube is root 6 :root pie?.
Solutions for , a pair and a cube have equal surface areas so that the ratio of the volume of a sphere to that of the cube is root 6 :root pie? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of , a pair and a cube have equal surface areas so that the ratio of the volume of a sphere to that of the cube is root 6 :root pie? defined & explained in the simplest way possible. Besides giving the explanation of , a pair and a cube have equal surface areas so that the ratio of the volume of a sphere to that of the cube is root 6 :root pie?, a detailed solution for , a pair and a cube have equal surface areas so that the ratio of the volume of a sphere to that of the cube is root 6 :root pie? has been provided alongside types of , a pair and a cube have equal surface areas so that the ratio of the volume of a sphere to that of the cube is root 6 :root pie? theory, EduRev gives you an ample number of questions to practice , a pair and a cube have equal surface areas so that the ratio of the volume of a sphere to that of the cube is root 6 :root pie? tests, examples and also practice Class 10 tests.
Explore Courses for Class 10 exam

Top Courses for Class 10

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev