Solve the attached question. Explain it properly.
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Answer:
given,
height ( h) = 10m
base radius (r) = 24m
(1) slant height = √{height ² + radius ²}
= √{10² + 24²} = 26m
(ii) surface area of canvas = surface area of cone = πr× slant height
= 22/7 × 24 × 26 m²
total cost of canvas for making = surface area of canvas × rate
= 22/7 × 24 × 26 × 70
= 22 × 24 × 26 × 10
= 137280 ₹
Step-by-step explanation:
1.) Height (h) of conical tent = 10 m
h=10 m
Radius (r) of conical tent 24 m
Let the slant height of the tent be l
We know that
l^2=h^2+ r^2
= (10)^2 + (24) ^2
l^2=100+ 576
l^2=676
I=√676
l= √26
I= 26 m
Therefore, the slant height of the tent is 26 m.
2.) Here the tent does not cover the base,
So, we find Curved surface area of tent = πrl
Here, r =24m,l = 26m
Curved surface area of tent =πrl
=(22/7x 24 x 26) m
= 13728/7 m
Cost of 1 m^2 canvas = Rs 70
Cost of 13728/7 m^2 canvas = Rs(13728/7x 70)
= Rs 137280
Therefore, the cost of the canvas required to make the tent is Rs 137280.