Question

    A solid is made by attaching a hemisphere to the top of a cylinder. The height of the cylindrical part is 14 cm, and the radius is 7 cm. Find the total volume of the solid. (Use π = 3.14)

    A 2872 cm³ Correct Answer Incorrect Answer
    B 2946 cm³ Correct Answer Incorrect Answer
    C 3167 cm³ Correct Answer Incorrect Answer
    D 3278 cm³ Correct Answer Incorrect Answer

    Solution

    Volume of cylinder = πr²h = 3.14 × (7)² × 14 = 3.14 × 49 × 14 = 2154 cm³. Volume of hemisphere = (2/3)πr³ = (2/3) × 3.14 × (7)³ = (2/3) × 3.14 × 343 = 718 cm³. Total volume = 2154 + 718 = 2872 cm³.

    Practice Next