A sphere of radius 6cm is dropped into a cylindrical vessel partly filled with water. The radius of the vessel is 8cm. If the sphere is submerged completely, then the surface of the water rises by
Excel in Class 10th Maths with NCERT solutions and MCQ-based questions from Chapter 12 Surface Areas and Volumes. Practice exercise questions short-answer problems and clear explanations to understand key concepts like surface areas and volumes of combinations of solids conversion of shapes and frustum of a cone. These resources are crafted as per the CBSE syllabus for complete exam preparation. Consistent practice will sharpen your problem-solving skills and prepare you to tackle board exams confidently. Use step-by-step solutions and revision notes designed to simplify learning and ensure success. Focus on mastering formulas and their applications to build a strong foundation. Begin practicing today to achieve excellent results and secure higher scores in exams.
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The sphere’s volume is 288π cm³. When submerged, it displaces an equal volume of water in the cylinder. Using the formula for the cylinder’s volume, πr²h = 288π, and substituting r = 8 cm, we get:
64πh = 288π → h = 288 / 64 = 4.5 cm.
This question related to Chapter 12 Mathematics Class 10th NCERT. From the Chapter 12. Surface Areas and Volumes. Give answer according to your understanding.
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