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In a sphere of radius r, a right circula...

In a sphere of radius r, a right circular cone of height h having maximum curved surface area is inscribed. The expression for the square of curved surface of cone is

A

`2 pi^(2) rh ( 2rh + h^(2))`

B

`pi^(2) hr (2rh + h^(2))`

C

`2pi^(2)r(2rh^(2) - h^(3))`

D

`2pi^(2)r^(2) (2rh-h^(2))`

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Knowledge Check

  • The volume of a right circular cone of height 24 cm is 1232 cm^(3) . Its curved surface area is

    A
    `1254 cm^(2)`
    B
    `704 cm^(2)`
    C
    `550 cm^(2)`
    D
    `462 cm^(2)`

  • If a right circular cone, having maximum volume is inscribed in a sphere of radius 3cm, then the curved surface area (in cm^(2) ) of this cone is

    A
    `6 sqrt(3pi)`
    B
    `6 sqrt2 pi`
    C
    `8 sqrt2 pi`
    D
    `8 sqrt3 pi`

  • The area of the base of a right circular cone is 154 cm^2 and its height is 14 cm . Its curved surface area is

    A
    `154sqrt5 cm^2`
    B
    `154 sqrt7 cm^2`
    C
    `77 sqrt7 cm^2`
    D
    `77 sqrt5 cm^2`

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