Question

Find the cost of the canvas for 50 conical tents, the height of each being 45cm and the diameter of the base 36cm at the rate of Rs. 9.40 sq. m.​

Answer 1

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Complete step by step answer:

Step 1:We are given the height and base diameter of the cone

Height, h =8m

Diameter, d =12m

From the diameter,let us calculate the radius ,r

r=d2=122=6m

Step 2:The formula of the curved surface area of a cone is πrl

So we need to find the slant height , l of the cone by using the formula below

⇒l=h2+r2−−−−−−√

By substituting the values of h and r ,

⇒l=(8)2+(6)2−−−−−−−−−√⇒l=64+36−−−−−−√⇒l=100−−−√⇒l=10m

Step 3: Now ,we have obtained our slant height .We can find the curved surface area of the cone

Curved Surface Area of the cone (CSA) =πrlsq m2

⇒CSA=227∗6∗10⇒CSA=22∗607⇒CSA=13207⇒CSA=188.57 m2

Step 4: We are given that the rate of canvas per m2 is Rs.3.50.The canvas required for the conical tent is equal to the curved surface area.

Therefore ,the cost of canvas for 188.57m2=3.50∗188.57=659.99

By rounding off the value we get the cost to be Rs.660