Solves routine and non-routine problems involving volume of solid figures. Do it on page 22-23.
9. A 2 cm – radius sphere is cut from a cylindrical solid whose volume is 645.50 cm3. What is the volume of the remaining parts of the cylinder after the cut?
9. A 2 cm – radius sphere is cut from a cylindrical solid whose volume is 645.50 cm3. What is the volume of the remaining parts of the cylinder after the cut?
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Answer:
Volume of Cylinder - Volume of Sphere = Volume of Remaining parts of the Cylinder
V of Sphere= (4/3)πr3
V = 1.33 × 3.14 × (2cm)³
V = 1.33 × 3.14 × 8
V = 33.41 cm³
V of Cylinder - V of Sphere=
645.5 cm³ - 33.41 cm³ = 612.09 cm³
Answer: The volume of the remaining parts of the cylinder is 612.09 cm³.