Maths · Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre
A sphere of radius 3 ems is dropped into a cylindrical vessel of radius . If the
A sphere of radius 3 ems is dropped into a cylindrical vessel of radius \( 4 \mathrm{cms} \). If the sphere is submerged completely, then the height (in \( \mathrm{cm} \) ) to which the water rises, is
- A. 2.35
- B. 2.30
- C. 2.25
- D. 2.15
Step-by-step solution
Volume of sphere = (4/3)π(3^3) = 36π cm³. Area of cylindrical base = π(4^2) = 16π cm². Rise h = volume/area = 36π/(16π) = 9/4 = 2.25 cm.
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