water..~~~~..

JEE Main 2015 Coaching › Class VII-X Mathematics questions › water..~~~~..

the amount of water contained in a sphere o9f radius 3cm is pour into a cube of 5cm . the height up to which water will rise i the cube is....
a)2 cm
b)3Ï€/4 cm
c)0.5Ï€ cm
d)1.44Ï€ cm
pllzzz the workout as well..
thanku...

#Mathematics #Class VII-X Mathematics

UP 0 DOWN 0 0 5
Post on FacebookPost anonymously?

5 Answers

269

Astha Gupta ·2013-08-28 00:59:26

anyone...?????....

UP 0 DOWN 0
Post on FacebookPost anonymously?

206

Sayantan Hazra ·2013-08-28 06:02:17

Calculate the volume of water in the sphere, and equate it with the volume of water in the cube....... :)

UP 0 DOWN 0
Post on FacebookPost anonymously?

206

Sayantan Hazra ·2013-09-02 08:42:16

Still did not get it??

UP 0 DOWN 1
Astha Gupta no...i cannot get the required equation
Upvote·0· Reply ·2013-09-09 10:57:52
Post on FacebookPost anonymously?

1

Sayar Chakraborty ·2013-09-10 07:01:54

Volume of a sphere=43Ï€ r³
r=3cm
Volume of the cube filled with water upto height h =5²h
Equating the equations mentioned above,
h=1.44Ï€ cm

UP 0 DOWN 1
Astha Gupta thanks...
Upvote·0· Reply ·2013-09-10 10:33:26
Post on FacebookPost anonymously?

69

Angikar Ghosal ·2014-05-18 23:45:02

Volume of the sphere = 43Ï€ * radius³
Therefore,
volume of the aforesaid sphere
= 4 * 22 * 3 * 3 * 33 * 7cm³
= 36Ï€ cm³
Volume of water = 36Ï€ cm³

Area of base of cube = edge² = (5 cm)² = 25 cm²

Therefore,
required height
= 36Ï€ cm³25 cm²
= 4.5257 cm (approximately)

UP 0 DOWN 0
Post on FacebookPost anonymously?

Your Answer

Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω