Geometry Questions and Answers

  • Q1:

    The outer and inner radii of a metallic spherical shell are 2 cm and 1 cm respectively. If it is melted to make a solid sphere, then the radius of the sphere will be

    1. (A)\(7\frac{1}{2}\) cm
    2. (B)\(9\frac{1}{3}\) cm
    3. (C)\(7\frac{1}{3}\) cm
    4. (D)\(3\) cm
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  • Q2:

    A cone of base diameter 20 cm and height 5 cm is melted to form a sphere of radius 5 cm. The volume of the material that remains is

    1. (A)\(2 \text{ cm}^3 \)
    2. (B)\(5 \text{ cm}^3 \)
    3. (C)\(\pi \text{ cm}^3 \)
    4. (D)zero
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  • Q3:

    A rectangle of sides 10cm and 8 cm is folded to form a cylinder in two different ways. The volume of the bigger cylinder thus formed is

    1. (A)\(\frac{160}{\pi} \text{cu cm } \)
    2. (B)\(\frac{175}{\pi} \text{cu cm } \)
    3. (C)\(\frac{200}{\pi} \text{cu cm } \)
    4. (D)\(\frac{150}{\pi} \text{cu cm } \)
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  • Q4:

    If the length of a side of rhombus 13 cm and one of its diagnonals is of length 24 cm, then the area of rhombus is

    1. (A)240 \(\text{cm}^2\)
    2. (B)156 \(\text{cm}^2\)
    3. (C)130 \(\text{cm}^2\)
    4. (D)120 \(\text{cm}^2\)
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  • Q5:

    The volume of a right circular cylinder is \(1100 \text{ cm}^3\) and the radius of its base is 5cm. The area of its curved surface is

    1. (A)\(440 \text{ cm}^2\)
    2. (B)\((440 + 25 \pi) \text{ cm}^2\)
    3. (C)\((440 + 50\pi) \text{ cm}^2\)
    4. (D)\(450 \text{ cm}^2\)
    • View Answer
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