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A plane divides a right circular cone in...

A plane divides a right circular cone into two parts of equal volume. If the plane is parallel to the base. then the ratio, in which the height of the cone is divided, is-
एक तल लंब वृत्तीय शंकु को समान आयतन वाले दो भागों में विभाजित करता है। यदि तल आधार के समांतर हो, तो शंकु की ऊंचाई को किस अनुपात में,विभाजित किया जाएगा?

A

`A. 1: root(3)(2)-1`

B

`B. 1:sqrt2`

C

`C. 1: root(3)(2)`

D

`D. 1: root(3)(2)+1`

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Radius of the base of a right circular cone and a sphere is each equal to r. If the sphere and the cone have the same volume, then what is the height of the cone? एक लम्ब वृत्तीय शंकु के आधार एवं एक गोले की त्रिज्या दोनों r के बराबर है | यदि गोले और शंकु का आयतन समान है, तो शंकु की ऊंचाई कितनी है ?

A right circular cone is divided by a plane parallel to its base in two equal volumes. In what ratio will the plane divide the axis of the cone?

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 ?

The diameter of a right circular cylinder is decreased to one third of its initial value. If the volume of the cylinder remains the same, then the height becomes how many times of the initial height ? एक लम्ब वृत्तीय बेलन के व्यास को इसके आरंभिक मान से एक तिहाई कम कर दिया जाता है | यदि बेलन का आयतन समान बना रहता है, तो इसकी ऊंचाई अपने आरंभिक मान से कितना गुना हो जाएगी ?

The radii of a right circular cone and a right circular cylinder are in the ratio 2:3. If the ratio of heights of the cone and the cylinder is 3:4, then what is the ratio of the volumes of the cone and the cylinder? एक लम्ब वृत्तीय शंकु तथा लम्ब वृत्तीय बेलन की त्रिज्याएँ 2 : 3 के अनुपात में हैं | यदि शंकु तथा बेलन की ऊंचाई में 3 : 4 का अनुपात है, तो शंकु तथा बेलन के आयतन में क्या अनुपात होगा ?

The volume of a right circular cone is equal to the volume of a right circular cylinder. The height and the radius of the cylinder are 9 cm and 20 cm respectively. If the height of the cone is 108 cm, then its radius (in cm) is- लंब वृत्ताकार शंकु का आयतन लंब वृत्ताकार सिलेंडर के आयतन बराबर है। सिलेंडर की ऊँचाई और त्रिज्या क्रमशः 9 सेमी और 20 सेमी हैं। यदि शंकु की ऊचाई 108 सेमी है, तो उसकी त्रिज्या कितनी (सेमी में) होगी?

CHAMPION PUBLICATION-2015 TIER-II PAPER(17)-EXERCISE
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  9. Average of n numbers is a. The first number is Increased by 2, second ...

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  10. The unit digit in the product (2467)^153xx(341)^72 is गुणनफल (2467)^...

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  11. If a man walks at the rate of 5 km/hour he misses a train by 7 minutes...

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  12. If 60% of A=30% of B, B=40% of C and C=x% of A, then value of x is

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  13. If a - (1)/(a - 3) = 5, then the avlue of (a- 3) ^(3) - (1)/((a - 3) ^...

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  14. If O is the circumcentre of a triangle ABC lying inside the tri angle,...

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  15. The interior angle of a regular polygon exceeds its exterior angle by ...

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  16. The marked price of a tape recorder is 12,600.A festivel discount of 5...

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  17. If A :B=2 : 3 and B : C=3 :7, then A+B : B+C : C+A is.

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