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F3 Maths Area and Volume?

A toy bullet consists of a cylinder and a right cone. If the volume of the cylinder is 6 times of that cone, find

(a) the height and slant height of the cone

(b) the total surface area of the bullet

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1 個解答

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  • 3 年前
    最愛解答

    a)radius of cone=(diameter of cylinder)/2=2.4/2=1.2

    (1/3)(pi)(1.2^2)(high of cone)/(pi)(1.2^2)(4.8-high of cone)=1/6

    (1/3)(high of cone)=(1/6)(4.8-high of cone)

    2h=4.8-h

    h=1.6

    l^2=h^2+r^2

    l=2

    b)surface area of cylinder=(2)(pi)(1.2)(4.8-1.6)=24.13

    surface area of cone=(pi)(1.2)(2)=7.54

    area of base=(pi)(1.2^2)=4.52

    total surface area=36.19

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