Question

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

Answer 1

Answer:

Slant Height=26m

cost of canvas required to make the tent=137280

Step-by-step explanation:

heigth=10m

radius of base=24m

using$(l)^{2}=(h)^2+(r)^2$

$(l)^2=(10)^2+(24)^2$

$(l)^2=100+576$

$(l)^2=676$

$l=\sqrt{676}$

l=26m

curved surface area of cone=$\pi$rl

curved surface area of cone=$24\pi\times26$

curved surface area of cone=$624\pi$

now cost of canvas required to make the tent=$624\times\frac{22}{7}\times70$

cost required=137280

Answer 2

Given:-

• A conical tent is 10 m high and the radius of its base is 24 m.
• The cost of 1 m² canvas is Rs. 70,

To find:-

• Find the slant height of the tent.
• Find the cost of the canvas required to make the tent.

Solutions:-

• length = 10m
• base radius = 24m

Slant height, l = √r² + h²

= √24² + 10²

= √576 + 100

= √676

= 26m

Hence, the slant height of the cone is 26m

curved surface area = πrl

Now,

Substituting the value of r = 24m and slant height = 26m and using π = 22/7 in the formula of CSA.

curved surface area = πrl

= 22/7 × 24 × 26

= 13728/7

The cost of the canvas is Rs 70 per m².

The total cost of canvas = (total curved surface area) (cost per m²)

= 13728/7 × 70

= 13728 × 10

= 137280

Hence, the total amount required to construct the tent is Rs. 137280.