Free physics question bank

Geometry & Mensuration questions with solutions

Practice Mathematical tools and vector for JEE Main, JEE Advanced, NEET, and Classes 11–12. Attempt each question, then open it for the full solution.

Showing 1–10 of 70 questions

  • MCQdifficultMathematical tools and vector

    A metal solid consists of a cylinder of radius 3 cm and height 4 cm with a hemisphere of radius 3 cm on one end. Its volume is:

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  • IntegerdifficultMathematical tools and vector

    A solid cone of radius 6 cm and height 8 cm is melted into spheres of radius 2 cm. Find the number of spheres formed.

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  • IntegerdifficultMathematical tools and vector

    A solid consists of a cylinder of radius 3 cm and height 8 cm surmounted by a hemisphere of the same radius. Find its total volume in units of π cm³.

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  • IntegerdifficultMathematical tools and vector

    A solid sphere of radius 3 cm is melted and recast into a cylindrical rod of radius 1 cm. Find the length of the rod in cm.

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  • IntegerdifficultMathematical tools and vector

    A solid metal sphere of radius 3 cm is completely immersed in a cylindrical vessel of radius 6 cm. Assuming no overflow, find the rise in water level in cm.

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  • IntegermediumMathematical tools and vector

    Using π=22/7, find the curved surface area of a cylinder of radius 7 cm and height 10 cm, in cm².

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  • IntegereasyMathematical tools and vector

    The perimeter of a rectangle is 50 cm and its length is 15 cm. Find its breadth in cm.

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  • IntegermediumMathematical tools and vector

    A frustum is obtained by removing a cone of height 6 cm from a similar cone of height 18 cm. If the radius of the original cone is 9 cm, find the radius of the removed cone in cm.

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  • IntegermediumMathematical tools and vector

    A solid cylinder of radius 4 cm and height 9 cm is melted and recast into cylinders of radius 2 cm and height 3 cm. Find the number of small cylinders formed.

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  • IntegermediumMathematical tools and vector

    Using π=22/7, find the volume of a cone of radius 7 cm and height 12 cm, in cm³.

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