ЁЯУв Too many exams? DonтАЩt know which one suits you best? Book Your Free Expert ЁЯСЙ call Now!

    Question

    A square prism has a base side of 10 cm and a height of

    15 cm. If a cone with the same base and height is removed from the prism, what is the volume of the remaining solid?
    A 950.5 cm┬│ Correct Answer Incorrect Answer
    B 1107.5 cm┬│ Correct Answer Incorrect Answer
    C 1153.5 cm┬│ Correct Answer Incorrect Answer
    D 1100 cm┬│ Correct Answer Incorrect Answer

    Solution

    Volume of the square prism = side┬▓ * height = (10┬▓) * 15 = 100 * 15 = 1500 cm┬│. Volume of the cone = (1/3) * ╧А * r┬▓ * h Where r = 5 cm (base radius) and h = 15 cm: Volume of the cone = (1/3) * ╧А * (5┬▓) * 15 = (1/3) * ╧А * 25 * 15 = 125╧А cm┬│. Remaining volume = Volume of the prism - Volume of the cone = 1500 - 125╧А тЙИ 1500 - 392.5 = 1107.5 cm┬│. Correct option: b) 1107.5 cm┬│

    Practice Next
    More Quant Miscellaneous Questions
    ask-question