Question

the slant height and base diameter of a conical tomb are 25 m and 14 m respectively.
Find the cost of white-washing its curved surface at the rate of Rs 210
per
100 m2​

Answer 1

Given :

• Slant Height of Cone is 25 m.
• Diameter of Cone is 14 m.

To Find :

• Cost of White washing its Curved Surface at Rate of Rs.210.

Solution :

$\longmapsto\tt{Slant\:Height(l)=25\:m}$

$\longmapsto\tt{Radius=\cancel\dfrac{14}{2}=7\:m}$

Using Formula :

$\longmapsto\tt\boxed{C.S.A\:of\:Cone=\pi{rl}}$

Putting Values :

$\longmapsto\tt{\dfrac{22}{{\cancel{7}}}\times{{\cancel{7}}}\times{25}}$

$\longmapsto\tt{22\times{25}}$

$\longmapsto\tt\bf{550\:{m}^{2}}$

Now ,

Cost of 100 m² is Rs. 210 :

$\longmapsto\tt{Cost\:of\:1\:m=\dfrac{21{\cancel{0}}}{10{\cancel{0}}}}$

$\longmapsto\tt{\dfrac{21}{1{\cancel{0}}}\times{55{\cancel{0}}}}$

$\longmapsto\tt{21\times{55}}$

$\longmapsto\tt\bf{Rs.1155}$

So , Cost of White-washing it is Rs.1155 ..

Answer 2

Answer:

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:

$\begin{gathered}{\implies{\rm{\dfrac{22}{7} \times 7 \times 24}}} \\\end{gathered} </strong></p><p><strong>[tex]\begin{gathered}{\implies{\rm{\dfrac{22}{7} \times 7 \times 24}}} \\\end{gathered}$

$\begin{gathered}{\implies{\rm{\dfrac{22}{ \cancel{7}} \times \cancel{7} \times 24}}} \\\end{gathered}$

$\begin{gathered}{\implies{\rm{22 \times 24}}} \\\end{gathered} </p><p></p><p>$

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

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

$\begin{gathered}{\implies{\pink{\boxed{\blue{\rm{The \ cost \ of \ white-wasting \ 528 \ {m}{2} \ area \ = Rs \ 1108.8}}}}}} \\\end{gathered} </p><p>$