Question

A hemispherical dome open at the base is made from a sheet of fibre. if the radius of the hemispherical dome is 40cm and 13/170 of the fibre sheet actually used was wasted in making the dome, find the cost of the dome at the rate of rupees 3.5/- per 100cm square. (Take pie as 3.14) 1

Answer 1

Answer:

₹ 3808

Step-by-step explanation:

Hii mate :-)

Here,

r=40cm

Wasted sheet= 13/170 of the total sheet

Surface Are of dome=$2\pi \: {r}^{2}$

Now ,

$2 \times 3.14 \times 40 \times 40\\=2 \times 314 \times 4 \times 4\\ =314 \times 32\\=10048$

Surface Area of the Dome =10048cm²

Now Let the area of fibre sheet =x

According to Question,

$10048 +( 13 \div 170) \times x = x\\=>10048 = x - (13 \div 170)x\\=>10048 = (157 \div 170)x\\=>x = 10880$

Now the Area of sheet required used =10880cm²

Cost of sheet used in making of dome=

$10880 \times 35 \div 100\\\\=1088 \times 3.5\\\\=\bold{3808}$

Cost of making the Dome = ₹ 3808

HOPE IT HELPS,

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Answer 2

Answer:

ur answer is rupees 3808