Explanation Given information: Diameter of the sphere is 18 c m Volume 1527 c m 3 of sphere is above the water surface. The weight of the sphere W in this problem can be found by, W = ρ g v In above equation, ρ - Density of water v - Submerged volume The density of the sphere can be found by, ρ s p h e r e = W g v Assume, water at 20 ° C ρ = 998 k g / m 3 Calculation: Calculate the total volume of the sphere, v s p h e r e = 4 3 π r 3 = 4 3 π ( 9 c m ) 3 = 3054 c m 3 Calculate the submerged volume, v s u b m e r g e d = ( 3054 c m 3 − 1527 c m 3 ) = 1527 c m 3 Convert, 1527 c m 3 = 1527 × 10 − 6 m 3 Now calculate the weight of the sphere, W = ρ g v = ( 998 k g / m 3 ) ( 9 To determine (b) If it will float in gasoline and the c m 3 that will be exposed.

8th Edition

ISBN: 9789385965494

Author: Frank White

Publisher: MCGRAW-HILL HIGHER EDUCATION

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Chapter 2, Problem 2.110P

To determine

(a)

The weight and specific gravity of the sphere.

To determine

(b)

If it will float in gasoline and the cm3 that will be exposed.

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Chapter 2, Problem 2.109P

Chapter 2, Problem 2.111P

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(a) The weight and specific gravity of the sphere.