A spherical iron shell with 8 cm external diameter weighs Find
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    Surface Areas and Volumes

    Multiple Choice QuestionsShort Answer Type

    351. Three solid spheres of iron whose diameters are 2 cm, 12 cm and 16 cm respectively are melted into a single solid sphere. Find the radius of the solid sphere. 
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    353. A spherical ball of lead 3 cm in radius is melted and recast into three spherical balls. If the radii of two balls are 3 over 2 cm and 2 cm, find the diameter of the third ball.
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    354. The volumes of two spheres are in the ratio 64 : 27. Find the difference of their surface areas, if the sum of their radii is 7 cm.
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    355. A hemispherical bowl of internal diameter 36 cm contains a liquid. This liquid is to be filled in cylindrical bottles of radius 3 cm and height 6 cm. How many bottles are required to empty the bowl?

    open square brackets Use space straight pi equals 22 over 7 close square brackets
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    356. A hemispherical bowl is made of steel 0.25 cm thick. The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl.
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    357.

    A spherical iron shell with 8 cm external diameter weighs 1860 4 over 7 straight g.
    Find the sick ness of the shell if the density of metal is 12 g/cm3 .

    Let the inner radius be x cm.

    External radius = 8 over 2 space cm equals space 4 space cm

    Volume of metal = 4 over 3 straight pi left parenthesis 4 cubed minus straight x cubed right parenthesis space cm cubed
    therefore space space   Mass of metal = 4 over 3 straight pi left parenthesis 4 cubed minus straight x cubed right parenthesis space.12 straight g
    According to the question,

    space space space space space space space space space 4 over 3 straight pi left parenthesis 4 cubed minus straight x cubed right parenthesis space 12 space equals 13024 over 7 rightwards double arrow space space space space space space 4 over 3.22 over 7 left parenthesis 4 cubed minus straight x cubed right parenthesis 12 equals 13024 over 7 rightwards double arrow space space space space space space 4 cubed minus straight x cubed equals 37 rightwards double arrow space space space space space space straight x cubed equals 64 minus 37 equals 27 equals 3 cubed rightwards double arrow space space space space space space space space space space straight x space equals space 3 space cm

    therefore    Thickness of the shell = 4 cm - 3 cm= 1 cm
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    358.  Find the volume of a sphere of radius 11.2 cm.
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    359. A shot-put is a metallic sphere of radius 4.9 cm. If the density of the metal is 7.8 g per cm3, find the mass of the shot-put.
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    360.

    A hemispherical bowl has a radius of 3.5 cm. What would be the volume of water it would contain?

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