Question

The slant height and base diameter of a conical tomb are 25m and14m respectively.find the cost of whitewashing it's curved surface at the rate of RS 12 per m

Answer 1

Given:-

• slant height of the conical tomb:- 25m

• base diameter of the conical tomb:- 14m

• Radius of base the conical tomb:- $\sf{ \dfrac{14}{2} = 7m}$

To find:-

• the cost of white washing it's curved surface at the rate of RS 12 per m.

Solution:-

★ $\bold{\underline{\boxed{\sf{\blue{\dag \; CSA \; of \; the \; conical \; tomb = \pi rl}}}}}$

$\implies \sf{ \dfrac{22}{ \cancel{7}} \times \cancel{7} \times 25}$

$\implies \sf{22 \times 25}$

$\implies \bold{\underline{\boxed{\sf{\red{\dag \; 550m^2}}}}}$

★ The cost of white washing it's curved surface at the rate of RS 12 per m.

the cost of white washing it's whole curved surface = (550 × 12)

$\implies \bold{\underline{\boxed{\sf{\purple{\dag \; 6600Rs}}}}}$

Therefore, Cost of white washing the curved surface of a conical tomb is 6600Rs.

$\rule{200}{2}$