International Maths Olympiad Forum By SOF Olympiad Trainer - Page 2
  1. Home
  2. /  Forum

User Forum

Ask Your Question
Nilanjana from Kv, Mumbai
Subject :IMO    Class : Class 10

Ans 1:

ayanokoji from advance high nuturing school, delhi
Class : Class 10
LET THE AGE OF FATHER AND SON BE X AND Y RESPECTIVELY X+Y=60......(1) AGE OF FATHER 6YEARS AGO WAS X-6=5(Y-6).....(2) X-6=5Y-30 BY USING ELIMINATION METHOD IN EQ (2)&(1) RESPECTIVELY WE GET Y=14YEARS AND X= 44YEARS THUS AFTER 6 YEARS THE SONS AGE WOULD BE 20 YEARS.

Post Your Answer

Het from Podar, Pune
Subject :IMO    Class : Class 10

Post Your Answer

Anish Sahu from Kendriya Vidyalaya Mahuldiha, Rairangpur
Subject :IMO    Class : Class 10

Post Your Answer

Shlok Deshaval from The Orbis School, Pune
Subject :IMO    Class : Class 10

Ans 1:

Tanya from Kensri, Bangalore
Class : Class 10
C. 4480 m VOLUME OF FRUSTUM= VOLUME OF WIRE (calculate radius using trigonometry) R=radius of original cone, H=height of original cone, r=radius of new cone, h=height of new cone, r₁²=radius of wire, h₁=height/length of wire vol. of frustum= vol. of original cone- vol. of smaller cone (cut off) => 1/3πR²H - 1/3πr²h => 1/3π*7000/3cm³ vol. of wire(cylinder) = πr₁²h₁ => π1/24*1/24*h equating and cancelling on both sides of equation, 7000= h/64 h=448000cm = 4480 m

Ans 2:

Tanya from Kensri, Bangalore
Class : Class 10
C. 4480 m VOLUME OF FRUSTUM= VOLUME OF WIRE (calculate radius using trigonometry) R=radius of original cone, H=height of original cone, r=radius of new cone, h=height of new cone, r₁²=radius of wire, h₁=height/length of wire vol. of frustum= vol. of original cone- vol. of smaller cone (cut off) => 1/3πR²H - 1/3πr²h => 1/3π*7000/3cm³ vol. of wire(cylinder) = πr₁²h₁ => π1/24*1/24*h equating and cancelling on both sides of equation, 7000= h/64 h=448000cm = 4480 m

Post Your Answer

Krishnam Bansal from St. Paul's Church College Unit-2, Agra
Subject :IMO    Class : Class 10

Post Your Answer

Shaurya Veer from Army Public School ASC C and C , Bangalore
Subject :IMO    Class : Class 10

Post Your Answer

Saidutta Sidhesh S M from RN PODAR, Mumbai
Subject :IMO    Class : Class 10

Post Your Answer

Adway Bachchan from Ramagya School, Noida
Subject :IMO    Class : Class 10

Post Your Answer

Agrim Singh from N.l.Dalmia high school, Mumbai
Subject :IMO    Class : Class 10

Post Your Answer

Yash Yadav from RAATH INTERNATIONAL SCHOOL , Ganiar
Subject :IMO    Class : Class 10

Post Your Answer