Maths-
General
Easy

Question

A Sphere of diameter 6 cm is dropped into a right circular cylindrical vessel partly filled with water. The diameter of cylindrical vessel is 12 cm. If the sphere is completely submerged in water , by how much will the level of water rise In the cylindrical vessel ?

hintHint:

Volume of sphere equals 4 over 3 pi r cubed

The correct answer is: h = 1cm


    Explanation:
    • We have given a iron sphere with diameter 6cm dropped into cylindrical can of diameter 12cm
    • We have to find the rise in level of water when the sphere is completely immersed
    Step 1 of 1:
    We have a iron sphere with diameter .
    Now the volume of the sphere will be

    V equals 4 over 3 pi r cubed

    equals 4 over 3 pi open parentheses 6 over 2 close parentheses cubed

    = 36π
    Now we know that the volume of sphere will be equal to volume of water displaced by it.
    So, Rise in volume of water will be 36π
    So,

    pi r squared h equals 36 pi

    left parenthesis 6 right parenthesis squared h equals 36

    h = 1cm
    So, The rise in level of water when the sphere is completely immersed will be h = 1cm .

    Related Questions to study

    General
    Maths-

    The area of a circle is 153.86 m2. Find its radius. Use π = 3.14.

    The area of a circle is 153.86 m2. Find its radius. Use π = 3.14.

    Maths-General
    General
    Maths-

    The Surface area of a solid sphere is 1256 sq.cm .It is cut into hemispheres. calculate the volume of a hemisphere

    The Surface area of a solid sphere is 1256 sq.cm .It is cut into hemispheres. calculate the volume of a hemisphere

    Maths-General
    General
    Maths-

    What kind of geometric intersections does the given image represent?

    What kind of geometric intersections does the given image represent?

    Maths-General
    parallel
    General
    Maths-

    The boundary of a circle is 56.52 metres long. Find its radius.

    The boundary of a circle is 56.52 metres long. Find its radius.

    Maths-General
    General
    Maths-

    A Solid consisting of a right circular cone , standing on a hemisphere , is placed upright , in a right circular cylinder , full of water and touches the bottom. Find the volume of the water left in the cylinder having given that the radius of the cylinder is 3 cm and its height is 6 cm, the radius of hemisphere is 2 cm and the height of the cone is 4 cm.Give your answer to the nearest cubic centimetre .

    A Solid consisting of a right circular cone , standing on a hemisphere , is placed upright , in a right circular cylinder , full of water and touches the bottom. Find the volume of the water left in the cylinder having given that the radius of the cylinder is 3 cm and its height is 6 cm, the radius of hemisphere is 2 cm and the height of the cone is 4 cm.Give your answer to the nearest cubic centimetre .

    Maths-General
    General
    Maths-

    The graph of inequality x ≥ −3 or x ≤ 4 plotted on a number line represents a ____.

    The graph of inequality x ≥ −3 or x ≤ 4 plotted on a number line represents a ____.

    Maths-General
    parallel
    General
    Maths-

    A circular window has a radius of 17 m. Find its circumference and area.

    A circular window has a radius of 17 m. Find its circumference and area.

    Maths-General
    General
    Maths-

    A hemisphere , cylinder and a cone have equal base diameters and have the same height. Prove that their volumes are in the ratio 2:3:1

    A hemisphere , cylinder and a cone have equal base diameters and have the same height. Prove that their volumes are in the ratio 2:3:1

    Maths-General
    General
    Maths-

    A solid is in the form of a right circular cylinder with hemisphere at one end and a cone at the other end. Their common diameter is 3.5 cm and the height of the cylindrical and conical portions are 10 cm and 6 cm respectively .Find the volume of the solid ?

    A solid is in the form of a right circular cylinder with hemisphere at one end and a cone at the other end. Their common diameter is 3.5 cm and the height of the cylindrical and conical portions are 10 cm and 6 cm respectively .Find the volume of the solid ?

    Maths-General
    parallel
    General
    Maths-

    Find the circumference of a circle with radius 16 m

    Find the circumference of a circle with radius 16 m

    Maths-General
    General
    Maths-

    The graph of inequality x ≤ 6 plotted on a number line represents a ____.

    The graph of inequality x ≤ 6 plotted on a number line represents a ____.

    Maths-General
    General
    Maths-

    A metal container on the form of a cylinder surmounted by a hemisphere of the same radius. The internal height of the cylinder is 7 m and the internal radius is 3.5 m, Calculate the internal volume of the container in cubic meter ?

    A metal container on the form of a cylinder surmounted by a hemisphere of the same radius. The internal height of the cylinder is 7 m and the internal radius is 3.5 m, Calculate the internal volume of the container in cubic meter ?

    Maths-General
    parallel
    General
    Maths-

    Find the height of a triangle if its area is 125 sq.cm. and base is 10 cm.

    Find the height of a triangle if its area is 125 sq.cm. and base is 10 cm.

    Maths-General
    General
    Maths-

    Which of the following points lie on the line 2x – 5y = 12?

    Which of the following points lie on the line 2x – 5y = 12?

    Maths-General
    General
    Maths-

    Find the area of square inscribed in a circle of radius 8 cm.