Question

4. A conical tent is 10 m high and the radius of its base is 24 m. Find
(i) slant height of the tent.
(ii) cost of the canvas required to make the tent, if the cost of 1 m2 canvas is 70.​

Answer 1

Step-by-step explanation:

Height,h=10 m

Radius,r=24 m

Let the slant height be l. Then,

l2=r2+h2

l2=676

l=26 m

Therefore, the slant height of the tent is 26 m.

Now,

CSA of tent = πrl=722×24×26=713728 m2

Hence, cost of canvas = 713728×70=137280 Rs.

Answer 2

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

⠀⠀⠀⠀

• Height = 10m
• Base = 24m

⠀⠀⠀⠀

$\sf{\bold{\green{\underline{\underline{To\: Find }}}}}$

• slant height = ???

⠀⠀⠀⠀

• cost of the canvas required to make the tent.

⠀⠀⠀⠀

$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

⠀⠀⠀⠀

$\sf{\red{\boxed{\bold{l^2 = r^2+ h^2}}}}$

⠀⠀⠀⠀

l² = r² + h² =

⠀⠀⠀⠀

l² = 24² + 10²

⠀⠀⠀⠀

l² = 576 + 100

⠀⠀⠀⠀

l² = 676

⠀⠀⠀⠀

l = √676

⠀⠀⠀⠀

l = 26m

⠀⠀⠀⠀

Slant height = 26m

⠀⠀⠀⠀

$\sf{\red{\boxed{\bold{Curved\: surface \: area = \pi r l }}}}$

⠀⠀⠀⠀

CSA = 22/7 × 24 × 26 =

⠀⠀⠀⠀

CSA = 13728/7 m²

⠀⠀⠀⠀

The cost of the canvas = Rs 70 per m²

⠀⠀⠀⠀

$\sf{\red{\boxed{\bold{Total\: cost\: of \: canvas = CSA \times {cost\: per \: m^2}}}}}$

Total cost of canvas = 13728/7 × 70 = 13728 × 10

⠀⠀⠀⠀

Total cost of canvas = 13728 x 10

⠀⠀⠀⠀

Total canvas = Rs. 137280

⠀⠀⠀⠀

$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

⠀⠀⠀⠀

• Total cost of canvas required is Rs.137280