Maths · Determining areas of the regions bounded by simple curves in standard forms
A sphere of radius is dropped into a cylindrical vessel of radius . If the spher
A sphere of radius \( 3 \mathrm{cm} \) is dropped into a cylindrical vessel of radius \( 4 \mathrm{cm} \). If the sphere is submerged completely, then the height (in cm) to which the water rises, is
- A. \( 2.35 \mathrm{cm} \)
- B. \( 2.30 \mathrm{cm} \)
- C. \( 2.25 \mathrm{cm} \)
- D. \( 2.15 \mathrm{cm} \)
Step-by-step solution
Volume of sphere = (4/3)π(3^3) = 36π cm^3. Base area of cylinder = π(4^2) = 16π cm^2. Rise in water level h = Volume/Area = 36π/(16π) = 2.25 cm.
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