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The slant height and base diameter of a conical tomb are 25m and 14m respectively.Find the cost of white-washing its curved surface at the rate of 210 per 100sq.m.

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4998

1155

932

3165

answer is B.

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Detailed Solution

Concept- Use the formula,curved surface of cone=

π rl

,then find the cost with given rate for white washing.
Formula of curved surface area of cone =

π rl

Radius = r
Length = l
Length of tomb=25m
Diameter of tomb=14m
Radius of tomb is the half of diameter,
∴r=

\frac{d}{2}

\frac{14}{2}

=7m.
Curved surface area of tomb =

π

rl
=

\frac{22}{7} \times

\times

25
= 550sq.m.
Cost of white washing the tomb is rs.210 per 100

m^{2}

\frac{210}{100} \times

550
=1155 Rs
Hence, correct option is 2

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