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Volume: IGCSE Maths Extended Cambridge Past Paper Questions - Free Printable

Educational worksheet: Volume: IGCSE Maths Extended Cambridge Past Paper Questions. Download and print for classroom or home learning activities.

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- The volume of water when the cup is full is the volume of the large cone minus the volume of the small, empty cone at the bottom.
- The large cone has a height of 20 cm. Using similar triangles, its radius is found to be 4.5 cm (since 2.7 cm / 8 cm = r / 20 cm, so r = (2.7 * 20) / 8 = 4.5 cm).
- The small cone has a height of 8 cm and a radius of 2.7 cm.
- Volume of large cone: V_large = (1/3) * π * (4.5)² * 20 = (1/3) * π * 20.25 * 20 = 135π cm³.
- Volume of small cone: V_small = (1/3) * π * (2.7)² * 8 = (1/3) * π * 7.29 * 8 = 19.44π cm³.
- Volume of water: V_water = V_large - V_small = 135π - 19.44π = 115.56π cm³.

Parent Tip: Review the logic above to help your child master the concept of igcse mathematics.

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