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The area of the base of a cone is 616 sq...

The area of the base of a cone is 616 sq.cm.Then find the radius of the cone.

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The radius of the base of a cone is 14 cm and its height is 24 cm. Find the volume

A toy is made in the form of hemisphere surmounted by a right cone whose circular base is joined with the plane surface of the hemisphere. The radius of the base of the cone is 7 cm. and its volume is 3/2 of the hemisphere. Calculate the height of the cone and the surface area of the toy correct to 2 places of decimal. ("Take "pi=3""1/7)

Knowledge Check

  • The surface area of a sphere is 616 sq.cm. then its radius is …… cm.

    A
    16
    B
    12
    C
    9
    D
    7

  • The radius of the base of certain cone is increasing at the rate of 3 cm per minute and the altitude is decreasing at the rate of 4 cm per minute. The rate of change of the total surface of the cone when the radius is 7 cm and the altitude is 24 cm is

    A
    `63pi` sq.cm/min
    B
    `84pi` sq.cm/min
    C
    `72pi` sq.cm/min
    D
    `96pi` sq.cm/min

  • The radius of the base of a cone is increasing at the rate of 3 cm/min and altitude is decreasing at the rate of 4 cm/min. The rate of change of lateral surface when the radius is 7 cm and altitude is 24 is

    A
    `180pi cm^(2)` / min
    B
    `7pi cm^(2)`
    C
    `27pi cm^(2)` /min
    D
    `54pi cm^(2)` /min

    • Similar Questions

    Explore conceptually related problems

    A toy is made in the form of hemisphere surmounted by a right cone whose circular base is joined with the plane surface of the hemisphere. The radius of the base of the cone is 7 cm. and its volume is 3/2 of the hemisphere. Calculate the height of the cone and the surface area of the toy correct to 2 places of decimal. ("Take "pi=3""1/7)

    A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. Then find the volume of the cone.

    If the rate of change in the area of a circle is it pi sq. cm/sec, then find the rate of change in the radius of the circle when the radius is 10cm.

    The lateral surface area of a cylinder is equal to the curved surface area of cone . If their bases are the same, find the ratio of the height of the cylinder to the slant height of the cone.

    A solid is in the form of a right circular with a hemisphere at one end and a cone at the other end. The radius of the common base is 8 cm and the heights of the cylindrical and conical portions are 10 cm and 6 cm respectivly. Find the total surface area of the solid [use pi=3.14 ]

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