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Math Help - Geometry challenge question (spherical cone)

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    Geometry challenge question (spherical cone)

    Hello ! I am working on this problem for about an hour now. I have researched for the formulas, only to find out that there is no formula for this given only 2 radii.

    Find the volume of a spherical cone in a sphere of radius 17 cm. if the radius of its zone is 8 cm.

    Thank you !
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  2. #2
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    Hint:
    Volume of spherical cone =2/3piR^2h
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    Quote Originally Posted by redpilot1234 View Post
    Hello ! I am working on this problem for about an hour now. I have researched for the formulas, only to find out that there is no formula for this given only 2 radii.

    Find the volume of a spherical cone in a sphere of radius 17 cm. if the radius of its zone is 8 cm.

    Thank you !
    1. To calculate the volume of a cone you must know the length of the radius of the base circle and the length of the height of the cone.

    2. Draw a sketch of the situation.

    3. Let r denote the radius of the base cicle of the cone, R the radius of the sphere and h the height of the cone. Then

    r^2 + x^2 = R^2

    and

    h = R+x
    Attached Thumbnails Attached Thumbnails Geometry challenge question (spherical cone)-kegl_inkugl.png  
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