Question

Page No.
Date
A hemisphorical dome, open at base, is mode
gibee sheet. If the diameter of hemispherical dome is
from
40 cm and 13 of sheet actually used was wasted
170
in making the dome, then find the coast of fibre
3 sheet at the rate of 0.35 per cm² (use = 3.14)​

Answer 1

Step-by-step explanation:

Here,

r=40cm

Wasted sheet= 13/170 of the total sheet

Surface Are of dome=

2\pi \: {r}^{2}2πr2 

Now ,

2 \times 3.14 \times 40 \times 402×3.14×40×40 

2 \times 314 \times 4 \times 42×314×4×4 

314 \times 32314×32 

1004810048 

Surface Area of the Dome =10048cm2

Now Let the Area of fibre sheet =X

A.T.Q

10048 +( 13 \div 170) \times x = x10048+(13÷170)×x=x 

10048 = x - (13 \div 170)x10048=x−(13÷170)x 

10048 = (157 \div 170)x10048=(157÷170)x 

x = 10880x=10880 

Now the Area of sheet required used =10880cm2

Cost of sheet used in making of dome=

10880 \times 35 \div 10010880×35÷100 

1088 \times 3.51088×3.5 

38083808 

Cost of making the Dome = ₹3808

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