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24 June, 21:50

Identify the lateral area and surface area of a right cone with radius 7 cm and slant height 15 cm a. L = 329.9 cm2; S = 373.9 cm2 b. L = 329.9 cm2; S = 483.8 cm2 c. L = 659.7 cm2; S = 483.8 cm2 d. L = 659.7 cm2; S = 813.6 cm2

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Answers (2)
  1. 24 June, 23:03
    0
    Step-by-step explanation:

    a.

    L

    =

    329.9

    c

    m

    2

    ;

    S

    =

    373.9

    c

    m

    2

    .

    b.

    L

    =

    659.7

    c

    m

    2

    ;

    S

    =

    483.8

    c

    m

    2

    .

    c.

    L

    =

    659.7

    c

    m

    2

    ;

    S

    =

    813.6

    c

    m

    2

    .

    d.

    L

    =

    329.9

    c

    m

    2

    ;

    S

    =

    483.8

    c

    m

    2

    .

    Surface Area of a Cone:

    In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.

    The height of the cone is the length of a line segment that joins the base to the vertex of the cone.

    The radius of the cone is the same as the radius of the base.

    Surface area of a cone

    (a) Lateral Surface Area

    If

    l

    and

    r

    are the slant height and radius of a cone then its lateral surface area is given by the formula-

    L

    =

    π

    r

    l

    where

    L

    is the lateral surface area of the cone

    (b) Total surface area

    It is the sum of the area of the circular base and the lateral surface area of the cone.

    S

    =

    L

    +

    π

    r

    2

    S

    =

    π

    r

    l

    +

    π

    r

    2

    Where

    S

    is the total surface area of the cone

    Answer and Explanation:

    Given that the radius and slant height of a right cone is

    7

    c

    m

    and

    15

    c

    m

    respectively

    r

    =

    7

    c

    m

    l

    =

    15

    c

    m

    So the lateral surface area of the cone-

    L

    =

    π

    r

    l

    L

    =

    π

    (

    7

    )

    (

    15

    )

    L

    =

    105

    π

    L

    =

    105

    (

    3.14159

    )

    L

    =

    329.866

    L



    329.9

    c

    m

    2

    And the total surface area of the cone-

    S

    =

    L

    +

    π

    r

    2

    S

    =

    329.9

    +

    π

    (

    7

    )

    2

    S

    =

    329.9

    +

    49

    (

    3.14159

    )

    S

    =

    329.9

    +

    153.937

    S

    =

    483.83

    c

    m

    2

    So the lateral area and total area of a right cone are

    329.9

    c

    m

    2

    and

    483.8

    c

    m

    2

    respectively.
  2. 24 June, 23:27
    0
    Step-by-step explanation:

    Step-by-step explanation:

    a.

    L

    =

    329.9

    c

    m

    2

    ;

    S

    =

    373.9

    c

    m

    2

    .

    b.

    L

    =

    659.7

    c

    m

    2

    ;

    S

    =

    483.8

    c

    m

    2

    .

    c.

    L

    =

    659.7

    c

    m

    2

    ;

    S

    =

    813.6

    c

    m

    2

    .

    d.

    L

    =

    329.9

    c

    m

    2

    ;

    S

    =

    483.8

    c

    m

    2

    .

    Surface Area of a Cone:

    In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.

    The height of the cone is the length of a line segment that joins the base to the vertex of the cone.

    The radius of the cone is the same as the radius of the base.

    Surface area of a cone

    (a) Lateral Surface Area

    If

    l

    and

    r

    are the slant height and radius of a cone then its lateral surface area is given by the formula-

    L

    =

    π

    r

    l

    where

    L

    is the lateral surface area of the cone

    (b) Total surface area

    It is the sum of the area of the circular base and the lateral surface area of the cone.

    S

    =

    L

    +

    π

    r

    2

    S

    =

    π

    r

    l

    +

    π

    r

    2

    Where

    S

    is the total surface area of the cone

    Answer and Explanation:

    Given that the radius and slant height of a right cone is

    7

    c

    m

    and

    15

    c

    m

    respectively

    r

    =

    7

    c

    m

    l

    =

    15

    c

    m

    So the lateral surface area of the cone-

    L

    =

    π

    r

    l

    L

    =

    π

    (

    7

    )

    (

    15

    )

    L

    =

    105

    π

    L

    =

    105

    (

    3.14159

    )

    L

    =

    329.866

    L



    329.9

    c

    m

    2

    And the total surface area of the cone-

    S

    =

    L

    +

    π

    r

    2

    S

    =

    329.9

    +

    π

    (

    7

    )

    2

    S

    =

    329.9

    +

    49

    (

    3.14159

    )

    S

    =

    329.9

    +

    153.937

    S

    =

    483.83

    c

    m

    2

    So the lateral area and total area of a right cone are

    329.9

    c

    m

    2

    and

    483.8

    c

    m

    2

    respectively.
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