Question

Pls answer number 32
Pic below

Answer 1

Answer:

288/625

0.4608

Step-by-step explanation:

Let say radius of Sphere = r

Volume of Cone = Volume of Water = (1/3)π(8)² * 15 = 320π cm³

Slant height = √8² + 15²  = √289 = 17 cm

Sinθ = 8/17   (in Δ  POR)

Sinθ = OM/OR   ( (in Δ  MOR)

OM = radius of sphere = r

OR = 15 - r

=> r/(15 - r)  = 8/17

=> 17r = 120 - 8r

=> 25r = 120

=> r = 4.8 cm

Volume of sphere = (4/3)π r³  =  (4/3)π (4.8)³

= 147.456 π cm³

Volume of Water over flow = 147.456 π cm³

fraction of water overflows = 147.456 π / 320π

= 0.4608

= 4608/10000

= 288/625

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