The slant height and base diameter of a conical tomb are 24 m and 14 m respectively. Find the cost of white-washing its curved surface at th

Question

The slant height and base diameter of a conical tomb are 24 m and 14 m respectively. Find the cost of white-washing its curved surface at the rate of Rs 210 per 100 m 2 .​

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Harper 2 months 2021-12-03T06:01:00+00:00 2 Answers 0 views 0

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    0
    2021-12-03T06:02:39+00:00

    Question:

    The slant height and base diameter of a conical tomb are 24 m and 14 m respectively. Find the cost of white-washing its curved surface at the rate of Rs 210 per 100 m².

    Answer:

    The cost of white-washing the tomb is Rs : 1108.8

    Given:

    Slant height of the conical tomb : 24 m.

    ➛Base diameter of the conical tomb : 14 m.

    ➛The cost of white-washing the tomb at

    the rate of Rs 210 per 100 m².

    To Find:

    The cost of white-washing the tomb.

    Solution:

    We are given,

    ➛Slant height of the conical tomb : 24 m.

    ➛Base diameter of the conical tomb : 14 m.

    ➛The cost of white-washing the tomb at

    the rate of Rs 210 per 100 m².

    let r be the radius of the conical comb .

    and l be slant height of the conical comb.

    ⛬ r = diameter / 2

    ➞ r = 14 / 2

    r = 7 m

    and l = 24 m

    we know,

    The curved surface area of the comb : πrl

    The curved surface area of the comb:

    {\implies{\rm{\dfrac{22}{7} \times 7 \times 24}}} \\

    {\implies{\rm{\dfrac{22}{ \cancel{7}} \times \cancel{7} \times 24}}} \\

    {\implies{\rm{22  \times 24}}} \\

    {\implies{\pink{\boxed{\blue{\rm{The \  curved \  surface \ area \  of \ the \  comb = 528}}}}}} \\

    The cost of white- wasting 100m² area = Rs 210.

    ⛬The cost of white- wasting 1m² area = Rs 210/100.

    ⛬The cost of white- wasting 528m² area

    = Rs ( 210/100)× 528

    The cost of white- wasting 528m² area

    = Rs 1108.8

    {\implies{\pink{\boxed{\blue{\rm{The \  cost \ of \ white-wasting \  528 \ {m}{2} \ area  \ = Rs \ 1108.8}}}}}} \\

    0
    2021-12-03T06:02:49+00:00

    Given:

    • Slant height of the conical tomb : 24 m.
    • Base diameter of the conical tomb : 14 m.
    • The cost of white-washing the tomb at the rate of Rs 210 per 100 m².

    To Find:

    • The cost of white-washing the tomb =?

    Step-by-step explanation :

    Curved surface area of tomb = πrl

    Given, Slant height, l = 24 m

    Diameter = 14 m.

    Now, As we know that,

    Radius = Diameter /2

    Substituting the values in the above formula, we get,

    = 14/2 = 7 m.

    Therefore, the radius = 7 m.

    As We know that,

    Curved Surface area of tomb = πrl

    Substituting the values in the above formula, we get,

    = 22/7 × 7 × 24

    = 22 × 1 × 24

    = 528.

    Therefore, Curved Surface area of tomb = 528 .

    Now,

    Cost of white-washing 100 m² area = Rs. 210

    Cost of white-washing 1 m² area = Rs. 1/100×210

    Cost of white-washing 528 m² area,

    = 1/100 × 210 × 528

    = 1,108.8.

    Therefore, the cost of white-washing the tomb = Rs. 1,108.8

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