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Math Help - I'm stuck with this math question please help me.?

  1. #1
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    I'm stuck with this math question please help me.?

    A cone is filled with ice-cream. It also has one scoop of ice cream on top in shape of a half sphere. The diameter of the sphere is 2 in and the height of the cone is 5 in. Calculate the volume of the ice-cream in cubic yards. How do I convert inches to yards.

    note: If you know the answers can please explain it to me in simple terms. I'm a noob. thank you.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by billR2D2 View Post
    A cone is filled with ice-cream. It also has one scoop of ice cream on top in shape of a half sphere. The diameter of the sphere is 2 in and the height of the cone is 5 in. Calculate the volume of the ice-cream in cubic yards. How do I convert inches to yards.

    note: If you know the answers can please explain it to me in simple terms. I'm a noob. thank you.
    Volume of a cone of base radius r and height h is V_cone = (1/3) pi r^2 h

    Volume of a hemisphere is of radius r is V_hemisphere = (2/3) pi r^3

    1 yard is 36 inches, so 1 inch is 1/36 yard.

    RonL
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  3. #3
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    um what's with the / ?
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  4. #4
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by CaptainBlack View Post
    Volume of a cone of base radius r and height h is V_cone = (1/3) pi r^2 h

    Volume of a hemisphere is of radius r is V_hemisphere = (2/3) pi r^3

    1 yard is 36 inches, so 1 inch is 1/36 yard.

    RonL
    Quote Originally Posted by billR2D2 View Post
    um what's with the / ?
    Are you referring to "1/36 yard" for example?

    It's the ASCII version of the division symbol. So 1/36 yard = \frac{1}{36}~\text{yard} = 0.027777778 yards.

    -Dan
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